Question

Which is the equation in slope-intercept form of the line that contains points (4,4)(2,-4)

Answer 1

Use the rise over run formula to find the slope of the line.

Rise over run uses the following formula:


`(y_(2)-y_(1))/(x_(2)-x_(1))`

Plug your points' x and y values into this formula:

(2,-4) and (4,4)

`(4 -(-4))/(4-2) = (8)/(2) = 4`

The slope of the line is 4.

To find the y-intercept of the line, we must take an x-value of a point, multiply it by our slope, and subtract that from the y-value:

(2,-4)

`2 * 4 = 8`

`-4 - 8 = -12`

The y-intercept is defined at -12, at (0,-12).

Slope-intercept form uses the following formula:


`y = mx + b`

m is the slope of the line, and b is the y-intercept.

We have the values for the slope and y-intercept. Plug these values into the formula. The following equation is your answer:


`y = 4x - 12`