2.2 Converting 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 isolate y in the equation 3x + y = 12?

Back

Subtract 3x from both sides to get y = -3x + 12.

Front

Convert the equation x + y = 4 into slope-intercept form.

Back

y = -x + 4.

Front

What does the slope represent in the slope-intercept form?

Back

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

Front

What is the y-intercept in the equation y = -2x + 41?

Back

The y-intercept is 41.

Front

Convert the equation 2x + y = 41 into slope-intercept form.

Back

y = -2x + 41.

Front

How do you convert the equation y = 3x + 1 into standard form?

Back

Rearrange to get -3x + y = 1.

Front

What is the slope of the line represented by the equation y = -4x + 12?

Back

The slope is -4.

Front

Convert the equation y = -3x + 1 into slope-intercept form.

Back

It is already in slope-intercept form.

Front

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

Back

Isolate y on one side of the equation.