Questions and Answers
What is the equation in slope-intercept form?
y = mx + b
What is the point-slope form equation of a straight line?
y - y1 = m(x - x1)
What are the steps to find the equation of a line given two points?
- Find slope. 2) Substitute slope (m) and values of one of your points (x,y) into y = mx + b and solve for b. 3) Substitute m and b into y = mx + b.
What is the standard form of a linear equation?
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Equations of parallel lines have the same slope.
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Equations of perpendicular lines have slopes that are negative reciprocals.
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What is a line of best fit?
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Study Notes
Slope Intercept Form
- Represents a linear equation as y = mx + b
- 'm' indicates the slope, and 'b' represents the y-intercept
Point-Slope Form
- Expresses the equation of a straight line as y - y1 = m(x - x1)
- 'm' is the slope, while (x1, y1) are specific coordinates on the line
Finding an Equation Given Two Points
- Calculate the slope using two coordinate points
- Substitute the slope (m) and one point's coordinates (x, y) into y = mx + b to solve for b
- Formulate the final equation as y = mx + b using the computed values for m and b
Standard Form of a Line
- Written as Ax + By = C
- 'm' can be determined by -A/B from this equation
Equations of Parallel Lines
- Both lines share the same slope
- They differ in their y-intercepts, ensuring they never intersect
Equations of Perpendicular Lines
- Slopes are negative reciprocals of each other
- These lines always have different y-intercepts
Line of Best Fit
- A linear representation in a scatter plot, aligning closely with the data points
- Illustrates the relationship between two datasets, providing insights into trends and correlations
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Description
This quiz consists of flashcards for Algebra I Unit 6, focusing on writing equations in different forms. You'll learn about slope-intercept form, point-slope form, and how to derive equations given two points. Perfect for reviewing key concepts and definitions in algebra.
