Unit 3 Lessons 1-7 Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Back

Front

Calculate the slope of the line passing through the points (3, -5) and (6, -6).

Back

Front

Back

To find the slope, rearrange to slope-intercept form: 2y = -5x + 10, so the slope is -5/2.

Front

Define the term 'y-intercept'.

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

If a line has a slope of 0, what does this mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

If a line has an undefined slope, what does this mean?

Back

An undefined slope means the line is vertical, and it does not have a defined rise over run.