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 + y = -10 to slope-intercept form?

Back

To convert to slope-intercept form, isolate y: y = -4x - 10.

Front

What is the slope of the line represented by the equation y = -4x - 10?

Back

The slope is -4.

Front

What is the y-intercept of the line represented by the equation y = -4x - 10?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b.

Front

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

Back

First, isolate y: -6y = -3x + 12, then y = (1/2)x - 2. The slope is 1/2.

Front

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

Back

The slope is 1/2.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

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

Back

All are forms of linear equations; however, y - y1 = m(x - x1) is point-slope form.