Rewrite Equations in 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 from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

Convert the equation x + y = -1 into slope-intercept form.

Back

y = -x - 1

Front

Write the equation of the line in slope-intercept form given the slope is 2 and the y-intercept is -2.

Back

y = 2x - 2

Front

Re-write the equation 2x - 3y = 9 in slope-intercept form.

Back

y = \frac{2}{3}x - 3

Front

Convert the equation 6x - y = 1 into slope-intercept form.

Back

y = 6x - 1

Front

Rewrite the equation 7x + 2y = 8 in slope-intercept form.

Back

y = -\frac{7}{2}x + 4

Front

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

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 slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

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

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.