Slope Intercept Form

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

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

How do you find the y-intercept from the equation y = -2/3x + 2?

Back

The y-intercept is found by setting x = 0. Thus, y = 2, so the y-intercept is (0, 2).

Front

Where do you start graphing the line y = -2/5x - 4?

Back

You start at -4 on the y-axis.

Front

What is the slope of the line represented by the equation y = -1/3x + 1?

Back

The slope is -1/3.

Front

What is the y-intercept of the line represented by the equation y = -1/3x + 1?

Back

The y-intercept is 1, represented as the point (0, 1).

Front

If the slope of a line is positive, what does that indicate about the line's direction?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the letter used to represent slope in the slope-intercept form?

Back

The letter used to represent slope is m.