Standard Form to Slope-Intercept Form

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

How do you convert the equation 4x - 8y = 72 to slope-intercept form?

Back

Rearranging gives y = (1/2)x - 9.

Front

What is the slope of the line represented by the equation y = (1/2)x - 9?

Back

The slope is 1/2.

Front

What is the y-intercept of the equation y = (1/2)x - 9?

Back

The y-intercept is (0, -9).

Front

How do you find the slope from the equation 3x - 6y = 12?

Back

Rearranging gives y = (1/2)x - 2, so the slope is 1/2.

Front

What does the term 'slope' represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

What does the term 'y-intercept' represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

How can you identify the slope from the equation 4x + y = -10?

Back

Rearranging gives y = -4x - 10, so the slope is -4.

Front

What is the y-intercept of the equation 4x + y = -10?

Back

The y-intercept is (0, -10).

Front

Which of the following is NOT in slope-intercept form? y = mx + b, Ax + By = C, y - y1 = m(x - x1)

Back

Ax + By = C is NOT in slope-intercept form.