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 convert an equation to slope-intercept form?

Back

To convert an equation to slope-intercept form, isolate y on one side of the equation.

Front

What does the slope (m) represent in the equation y = mx + b?

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 the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

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

Back

y = x + 27

Front

Convert 4y = 5x - 28 to slope-intercept form.

Back

y = 5/4x - 7

Front

Convert y - x = -1 to slope-intercept form.

Back

y = x - 1

Front

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

Back

y = -3x + 9

Front

Convert y = x - 3 + 10 to slope-intercept form.

Back

y = x + 7

Front

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

Back

The first step is to isolate the variable y on one side of the equation.