Question

A line has a slope of −23 and goes through the point (−5,2). If the point (37,b) lies on the line, what is the value of b?

Answer 1

Remember the equation for the slope \(m\) given two points \((x_1,y_1),(x_2,y_2)\)\[
m=\frac{y_2-y_1}{x_2-x_1}
\]

Answer 2

In this case\[
-23 = \frac{b-2}{37-(-5)}
\]

Answer 3

You need to solve for \(b\)

Answer 4

so the bootom equals 42?

Answer 5

Yes.

Answer 6

so whats the answer buddy (:

Answer 7

You need to solve for \(b\).

Answer 8

\[
-23=\frac{b-2}{42}
\]

Answer 9

What do you do next to isolate the variable?

Answer 10

so its -966?

Answer 11

-968

Answer 12

i got -966

Answer 13

http://www.wolframalpha.com/input/?i=-23+%3D+%28b-2%29%2F%2837-%28-5%29%29

Answer 14

we had to do cross multiply