Question

Find the value of x so that the line passing through the points will have the given slope: (x, 6) and (10, -3) with a slope of -3/2.
A. -13
B. 4
C. 13
D. -12

Can someone explain how to do this? I came out with an answer of x=20, so obviously I'm doing something wrong.

Answer 1

Use \[
m=\frac{y_2-y_1}{x_2-x_1}
\]\[
-\frac 32 = \frac{-3-6}{10-x}
\]

Answer 2

I set up the equation correctly, I must have made a mistake within solving it. @wio

Answer 3

Cross multiply next?

Answer 4

Sure.

Answer 5

I am confused on what to do with the \[- \frac{ 3 }{ 2 }\]

Answer 6

Cross multiply like you said