11 Slope-Intercept Form and Intercepts

Front

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

Back

The slope-intercept form is 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 x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the x-intercept of the equation 2x + 3y = 6?

Back

The x-intercept is (3, 0).

Front

What is the y-intercept of the equation 2x + 3y = 6?

Back

The y-intercept is (0, 2).

Front

Which ordered pair could represent the x-intercept of a function?

Back

(4, 0) is the x-intercept because y = 0.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent speed, growth rate, or any change in one quantity relative to another.

Front

If a line has a slope of 0, what does that indicate?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

If a line has an undefined slope, what does that indicate?

Back

An undefined slope indicates a vertical line, meaning x is constant while y changes.