Converting Standard to 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, solve for y in terms of x.

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) represents the point where the line crosses the y-axis.

Front

Convert the equation 2x - 3y = 6 to slope-intercept form.

Back

y = (2/3)x - 2.

Front

Convert the equation 5x + 2y = -3 to slope-intercept form.

Back

y = (-5/2)x - (3/2).

Front

Convert the equation 6x - 2y = 10 to slope-intercept form.

Back

y = 3x - 5.

Front

Convert the equation -4x + 2y = 8 to slope-intercept form.

Back

y = 2x + 4.

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 = 4x + 1?

Back

The slope is 4.