Question

Find $y$ if the point $(-6,y)$ is on the line that passes through $(-1,7)$ and $(3,-2)$.

Answer 1

18 1/4

Explanation:

The slope of the line is (1+5)/(6+3) = (6/9) = (2/3). The line passes through the point (6,1), so its equation is given by y - 1 = (2/3)(x-6). The 3y-3 = 2(x-6) = 2x-12, so the standard form of the equation of the line is 2x - 3y = 9.

Answer 2

y=-8.75

Explanation:

here we go,

first find slope, which is change in y over change in x

-9/4

y=-9/4x+b

plug in point

7=9/4+b

b=4.75, so y=9/4x+4.75

plug in -6, y=-13.5+4.75,

y= -8.75