Standard to Slope-Intercept

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 from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

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

Back

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

Front

Convert the standard form equation 3x - 2y = 0 into slope-intercept form.

Back

y = (3/2)x.

Front

Convert the standard form equation 5x - 4y = -20 into slope-intercept form.

Back

y = (5/4)x + 5.

Front

Convert the standard form equation 4x - 3y = 15 into slope-intercept form.

Back

y = (4/3)x - 5.

Front

Convert the standard form equation x + y = -1 into slope-intercept form.

Back

y = -x - 1.

Front

Convert the standard form equation x - 5y = 10 into slope-intercept form.

Back

y = (1/5)x - 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.