Convert 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 4x - 8y = 72 to slope-intercept form?

Back

Rearranging gives y = 1/2x - 9.

Front

What does the slope (m) represent in the slope-intercept form?

Back

The slope 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 slope-intercept form?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Convert the equation y - 3 = 3(x - 1) to slope-intercept form.

Back

The slope-intercept form is y = 3x.

Front

Convert the equation y + 9 = 3(x - 1) to slope-intercept form.

Back

The slope-intercept form is y = 3x - 12.

Front

How do you convert the standard form equation x + y = -1 to slope-intercept form?

Back

Rearranging gives y = -x - 1.

Front

What is the first step in converting an equation to slope-intercept form?

Back

Isolate y on one side of the equation.

Front

If the slope of a line is 2, what is the equation of the line in slope-intercept form that passes through the point (0, 3)?

Back

The equation is y = 2x + 3.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope is -3.