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

Mathematics

1 answer:

vichka [17]3 years ago

6 0

Answer:

y = 18.25

Step-by-step explanation:

The 2-point form of the equation of a line can be used to write the equation of the line through the given points.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (-2 -7)/(3 -(-1))(x -(-1)) +7

y = -9/4(x +1) +7

For x = -6 this evaluates to ...

y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7

y = 18 1/4

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