Slope Basics Review

Front

What is the slope?

Back

The slope is a measure of the steepness or incline of a line, represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend.

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no change in the y-value as the x-value changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant while the y-value changes.

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) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the first step to solve for slope-intercept form from the equation -x + 4y = 11?

Back

The first step is to add x to both sides to isolate the term with y.

Front

Convert the equation 4x - 8y = 72 to slope-intercept form.

Back

The slope-intercept form is y = 1/2x - 9.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.