Standard Form 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 - 6y = 12?

Back

Subtract 3x from both sides: -6y = -3x + 12, then divide by -6: y = (1/2)x - 2.

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 y-intercept of the equation y = (5/3)x + 3?

Back

The y-intercept is (0, 3).

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = (5/3)x - 4.

Front

What does the slope of a line represent?

Back

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

Front

How can you determine the slope from the equation 4x + y = -10?

Back

Rearrange to slope-intercept form: y = -4x - 10, so the slope is -4.

Front

What is the y-intercept of the equation 4x + y = -10?

Back

The y-intercept is (0, -10).

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

It indicates that the line descends from left to right.

Front

What is the first step to convert 5x - 3y = -9 to slope-intercept form?

Back

Isolate y by moving 5x to the other side: -3y = -5x - 9.