Question

I NEED HELP ASAP

Write the slope-intercept form of the equation with the given characteristics: Slope: 3/2 Point: (-4,7)​

Answer 1

`y = (3)/(2) x + 13`

Explanation:

1) Use point-slope formula
`y-y_1 = m (x-x_1)` to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and
`x_1` and
`y_1` represent the x and y values of a point the line intersects. So, substitute
`(3)/(2)` for m, -4 for
`x_1`, and 7 for
`y_1`. Then, simplify and isolate y on the left side like so:

`y-(7) = (3)/(2) (x - (-4)) \\y -7 = (3)/(2) (x + 4) \\y - 7 = (3)/(2) x + 6\\y = (3)/(2) x + 13`