Slope Test Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the ratio of the rise (change in y) over the run (change in x).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as 'b' in the slope-intercept form of a line, which is y = mx + b.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

The equation of a line can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept.

Front

Given a slope of 2/3 and a y-intercept of -3, what is the equation of the line?

Back

y = \frac{2}{3}x - 3

Front

What is the slope of the line represented by the equation y = -2x + 7?

Back

The slope is -2.

Front

How do you find the slope using rise/run?

Back

The slope can be found by calculating the rise (vertical change) over the run (horizontal change) between two points on the line.

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

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no vertical change regardless of the horizontal change.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the run (horizontal change) is 0.