Question

slope intercept form for a line with m equals 2/3 and a point on the line of -9 and 5

Answer 1

Slope-intercept form:

y = mx + b      "m" is the slope, "b" is the y-intercept

Since you know m = $\frac{2}{3}$, you can plug it into the equation

y = mx + b

$y=\frac{2}{3}x + b$

To find "b", plug in the point (-9, 5) into the equation

$y=\frac{2}{3}x + b$

$5=\frac{2}{3}(-9)+b$

$5=\frac{-9(2)}{3}+b$

$5=\frac{-18}{3} +b$

5 = -6 + b   Add 6 on both sides

11 = b

$y=\frac{2}{3}x+11$