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 -x + 4y = 11?

Back

Add x to both sides to get 4y = x + 11.

Front

What is the first step to convert -12x - 4y = -8 into slope-intercept form?

Back

Add 12x to both sides to get -4y = 12x - 8.

Front

What is the slope of the line represented by the equation y = -3x + 2?

Back

The slope is -3.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

How do you find the y-intercept from the equation 3y = -5x + 10?

Back

Set x = 0 and solve for y, which gives y = 10/3.

Front

What is the last step to solve for y in the equation 3y = -5x + 10?

Back

Divide everything by 3 to get y = (-5/3)x + (10/3).

Front

Rewrite the equation 5x - 3y = -9 in slope-intercept form.

Back

y = (5/3)x + 3.

Front

What is the slope of the line represented by the equation y = (5/3)x + 3?

Back

The slope is 5/3.

Front

What is the first step to solve for y in the equation -2x - 4y = -12?

Back

Add 2x to both sides to get -4y = 2x - 12.