Slope Intercept Form (Algebra 1) Flashcards

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Questions and Answers

What is slope-intercept form for the equation of a line?

y=mx+b

The b in y=mx+b is the?

y-intercept (where the line crosses the y-axis)

The m in the y=mx+b is the?

slope of the line (rise over run)

What is the slope formula?

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Give an example of undefined slope.

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Give an example of zero slope.

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Give an example of positive slope.

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Give an example of negative slope.

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Write the equation if b = 3 and m = -2.

y=-2x+3 Signup and view all the answers

Write the equation if b = -7 and m = 1/2.

y=1/2x-7 Signup and view all the answers

What does the graph of y = -3/2x + 3 look like?

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To write the equation of a line, you need to find what?

slope (m) and y-intercept (b) Signup and view all the answers

What is the Y-intercept?

The point where the equation of a line crosses the Y-axis. Signup and view all the answers

What is the slope of a horizontal line?

0 Signup and view all the answers

What is the slope of a vertical line?

Undefined Signup and view all the answers

What is the y-intercept of a vertical line?

There is none. Signup and view all the answers

At what point do you start graphing the line y=x?

A zero on the y-axis. Signup and view all the answers

How do you count the slope for the line y=x?

Up 1 Right 1 Signup and view all the answers

What is the equation for a horizontal line that goes through 5?

y=5 Signup and view all the answers

What is the equation for a vertical line that goes through 5?

x=5 Signup and view all the answers

What happens when you subtract a negative?

It becomes addition. Signup and view all the answers

What does -3/-6 simplify down to?

1/2 Signup and view all the answers

Study Notes

Slope-Intercept Form

Slope-intercept form is represented by the equation y = mx + b.
m indicates the slope, calculated as the rise over the run.
b represents the y-intercept, where the line intersects the y-axis.

Slope Formulas and Characteristics

Slope formula measures the steepness of a line.
Undefined slope occurs with vertical lines; there is no defined slope for these lines.
Zero slope occurs with horizontal lines; these lines maintain a constant y-value.
Positive slope indicates an upward trend as you move along the x-axis, while negative slope shows a downward trend.

Graphing Lines

To construct a line’s equation, you must determine the slope (m) and y-intercept (b).
The y-intercept is the coordinate point where the line intersects the y-axis.
For the line y = x, begin graphing at the origin (0,0) and move up one unit and right one unit to plot points.

Equations of Specific Lines

A horizontal line passing through y = 5 is represented as y = 5.
A vertical line passing through x = 5 is written as x = 5.

Special Cases

y = -3/2x + 3 generates a line with a negative slope and a y-intercept of 3.
The equation derived from values b = 3 and m = -2 is y = -2x + 3.
When b = -7 and m = 1/2, the equation is y = 1/2x - 7.

Simplification and Operations

Subtracting a negative number equates to adding that number.
The fraction -3/-6 simplifies to 1/2.

Key Points

The slope of a horizontal line is always 0.
A vertical line's slope is deemed undefined.
A vertical line does not possess a y-intercept at any point.

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Description

Test your knowledge of the slope-intercept form, y=mx+b, with these flashcards designed for Algebra 1. Each card includes key terms such as the slope and y-intercept, along with their definitions. Perfect for reinforcing your understanding of linear equations.