Putting Equations into Slope-Intercept Form

Front

What is slope-intercept form?

Back

Slope-intercept form is a way of writing the equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from an equation in standard form?

Back

To find the slope from an equation in standard form (Ax + By = C), rearrange it to slope-intercept form (y = mx + b) and identify m.

Front

What does the slope represent in a linear equation?

Back

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

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Convert -4x + 4y = 16 to slope-intercept form.

Back

y = x + 4.

Front

Convert 2y + 6x = 24 to slope-intercept form.

Back

y = -3x + 12.

Front

Convert -3x + 7y = 14 to slope-intercept form.

Back

y = 3/7x + 2.

Front

Convert y - 13 = x + 14 to slope-intercept form.

Back

y = x + 27.

Front

Convert 12x + 4y = 36 to slope-intercept form.

Back

y = -3x + 9.

Front

What is the first step to convert an equation to slope-intercept form?

Back

Isolate the y variable on one side of the equation.