Converting Standard Form to Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the equation 6x - 2y = 10 to slope-intercept form?

Back

First, isolate y: -2y = -6x + 10, then divide by -2: y = 3x - 5.

Front

What does the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept of the line.

Front

What is the first step to convert the equation 2x + 4y = 8 into slope-intercept form?

Back

Subtract 2x from each side to isolate the term with y.

Front

Convert the equation 4x + 5y = -7 to slope-intercept form.

Back

y = (-4/5)x - 7/5.

Front

Convert the equation -3x - 4y = 12 to slope-intercept form.

Back

y = (-3/4)x - 3.

Front

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

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = -5x + 4?

Back

The y-intercept is 4.

Front

How do you find the slope from the equation 3x + 2y = 6?

Back

Rearrange to slope-intercept form: 2y = -3x + 6, then y = (-3/2)x + 3, so the slope is -3/2.