Podcast
Questions and Answers
What is the slope of the line represented by the equation $2x - 3y = 3$?
What is the slope of the line represented by the equation $2x - 3y = 3$?
- $-\frac{2}{3}$ (correct)
- $\frac{3}{2}$
- $\frac{2}{3}$
- $-\frac{3}{2}$
What is the y-intercept of the line given by the equation $x + 4y = 20$?
What is the y-intercept of the line given by the equation $x + 4y = 20$?
- 5 (correct)
- 20
- 0
- 4
Which ordered pair is a solution for the equation $3x + 5y = 0$?
Which ordered pair is a solution for the equation $3x + 5y = 0$?
- (0, 0)
- (-5, 3) (correct)
- (5, -3)
- (3, -5)
What is the x-intercept of the equation $8x - 5y = -25$?
What is the x-intercept of the equation $8x - 5y = -25$?
Which of these points lies on the line described by $2x - 3y = 3$?
Which of these points lies on the line described by $2x - 3y = 3$?
What is the result of substituting $x = 2$ in the equation $x + 4y = 20$?
What is the result of substituting $x = 2$ in the equation $x + 4y = 20$?
Which of the following is the correct standard form for the equation of the line with a slope of $-2$ and passing through the point (0, 3)?
Which of the following is the correct standard form for the equation of the line with a slope of $-2$ and passing through the point (0, 3)?
For which value of $y$ does the point (3, y) satisfy the equation $3x + 5y = 0$?
For which value of $y$ does the point (3, y) satisfy the equation $3x + 5y = 0$?
What is the feasible region for the inequality x + y ≤ 2?
What is the feasible region for the inequality x + y ≤ 2?
Which of the following represents the graph of 4x + 5y ≥ 20?
Which of the following represents the graph of 4x + 5y ≥ 20?
Given the inequality x - 2y < -4, what would be the slope of the boundary line?
Given the inequality x - 2y < -4, what would be the slope of the boundary line?
Which point (x,y) does NOT satisfy the inequality 7x + 3y < -6?
Which point (x,y) does NOT satisfy the inequality 7x + 3y < -6?
Which inequality has a solution set represented by a region to the right of the line?
Which inequality has a solution set represented by a region to the right of the line?
For which inequality will the graph include points above the line y = -2x + 4?
For which inequality will the graph include points above the line y = -2x + 4?
What does the inequality x + y ≤ 2 represent in the coordinate plane?
What does the inequality x + y ≤ 2 represent in the coordinate plane?
Which of these inequalities will have a boundary line that is dashed?
Which of these inequalities will have a boundary line that is dashed?
What is the corner point for the feasible region defined by the inequalities x + y ≤ 2 and 4x + 5y ≥ 20?
What is the corner point for the feasible region defined by the inequalities x + y ≤ 2 and 4x + 5y ≥ 20?
What is the slope of the line represented by the inequality y > -5x + 5?
What is the slope of the line represented by the inequality y > -5x + 5?
Which of the following points satisfies the inequality y > x + 2?
Which of the following points satisfies the inequality y > x + 2?
For the inequality y ≥ -x, which statement is true?
For the inequality y ≥ -x, which statement is true?
Which inequality represents a region above the line with a slope of 1 that intersects the y-axis at 2?
Which inequality represents a region above the line with a slope of 1 that intersects the y-axis at 2?
What is the y-intercept of the line represented by y ≤ x + 5?
What is the y-intercept of the line represented by y ≤ x + 5?
If y > -5x + 5 is graphed, in which quadrant will it extend infinitely?
If y > -5x + 5 is graphed, in which quadrant will it extend infinitely?
What type of line is represented by the inequality y < x + 2?
What type of line is represented by the inequality y < x + 2?
Which inequality creates a region below the line that has a slope of -1?
Which inequality creates a region below the line that has a slope of -1?
Which of the following correctly identifies the region of y < -x?
Which of the following correctly identifies the region of y < -x?
When graphing y ≥ -x, what will the shading represent?
When graphing y ≥ -x, what will the shading represent?
What is the significance of a solid line in the graph of y ≤ x + 5?
What is the significance of a solid line in the graph of y ≤ x + 5?
For the inequality y > -5x + 5, which of the following coordinates does not satisfy it?
For the inequality y > -5x + 5, which of the following coordinates does not satisfy it?
How would you describe the region represented by y ≤ x + 2?
How would you describe the region represented by y ≤ x + 2?
What is the y-intercept of the line represented by the equation y = x?
What is the y-intercept of the line represented by the equation y = x?
What is the slope of the line y = -x - 5?
What is the slope of the line y = -x - 5?
Which graph represents the equation y = -x - 4?
Which graph represents the equation y = -x - 4?
What type of line does the equation y = 0 represent?
What type of line does the equation y = 0 represent?
What are the coordinates of the point where the line y = x intersects the x-axis?
What are the coordinates of the point where the line y = x intersects the x-axis?
In the equation y = -x - 5, what is the y-coordinate when x = 2?
In the equation y = -x - 5, what is the y-coordinate when x = 2?
When graphing y = -x - 5, which point lies on the line?
When graphing y = -x - 5, which point lies on the line?
What is the slope-intercept form of the line represented by y = -x - 4?
What is the slope-intercept form of the line represented by y = -x - 4?
What is the effect of adding a positive number to the equation y = -x?
What is the effect of adding a positive number to the equation y = -x?
Which equation describes a line that will never intersect the x-axis?
Which equation describes a line that will never intersect the x-axis?
At which value of x will the equation y = -x - 4 have a y-value of 0?
At which value of x will the equation y = -x - 4 have a y-value of 0?
What is the domain of the line represented by y = 0?
What is the domain of the line represented by y = 0?
For the line y = -x - 4, what point is found at x = -1?
For the line y = -x - 4, what point is found at x = -1?
Which line has the steepest slope among the following?
Which line has the steepest slope among the following?
Flashcards
Graph of y = x
Graph of y = x
A straight line passing through the origin (0,0) with a slope of 1.
Graph of y = -x - 5
Graph of y = -x - 5
A straight line with a slope of -1, and a y-intercept of -5.
Graph of y = -x - 4
Graph of y = -x - 4
A straight line with a slope of -1, and a y-intercept of -4.
Graph of y = 0
Graph of y = 0
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Straight line
Straight line
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Y-intercept
Y-intercept
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Slope
Slope
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Equation of a line
Equation of a line
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Origin
Origin
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X-axis
X-axis
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Y-axis
Y-axis
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Coordinate plane
Coordinate plane
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Slope of 1
Slope of 1
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Slope of -1
Slope of -1
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y-intercept of -5
y-intercept of -5
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Equation 2x - 3y = 3
Equation 2x - 3y = 3
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Equation x + 4y = 20
Equation x + 4y = 20
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Equation 3x + 5y = 0
Equation 3x + 5y = 0
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Equation 8x − 5y = −25
Equation 8x − 5y = −25
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Linear Equation
Linear Equation
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Variable
Variable
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Graphing
Graphing
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Linear Inequality
Linear Inequality
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Solution to a Linear Inequality
Solution to a Linear Inequality
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Graphing a Linear Inequality
Graphing a Linear Inequality
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Boundary Line
Boundary Line
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Solid vs. Dashed Boundary Line
Solid vs. Dashed Boundary Line
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Test Point
Test Point
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Shaded Region
Shaded Region
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x + y ≤ 2
x + y ≤ 2
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4x + 5y ≥ 20
4x + 5y ≥ 20
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x - 2y < -4
x - 2y < -4
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y > −5x + 5
y > −5x + 5
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y > x + 2
y > x + 2
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y ≥ − x
y ≥ − x
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y ≤ x + 5
y ≤ x + 5
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Graphing y > −5x + 5
Graphing y > −5x + 5
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Graphing y > x + 2
Graphing y > x + 2
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Graphing y ≥ − x
Graphing y ≥ − x
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Graphing y ≤ x + 5
Graphing y ≤ x + 5
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Study Notes
Linear Equations and Inequalities
- Graphing Lines: The assignment involves graphing various linear equations and inequalities on coordinate planes.
- Equations: The examples provided include linear equations in various formats.
- y = -x
- y = -x - 5
- y = -x - 4
- y = 0
- 2x - 3y = 3
- x + 4y = 20
- 3x + 5y = 0
- 8x - 5y = -25
- Inequalities: The assignment also introduces linear inequalities.
- y > -5x + 5
- y > -x + 2
- y ≥ -x/3
- y ≤ -x + 5
- x + y ≤ 2
- 4x + 5y ≥ 20
- x - 2y < -4
- 7x + 3y < -6
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Description
This quiz focuses on graphing various linear equations and inequalities on coordinate planes. It includes examples of linear equations and inequalities across different formats. Test your knowledge on how to accurately represent these mathematical concepts visually.