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Orlov [11]
3 years ago
14

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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The equation of a line that passes through the point (-1,-4) and has a gradient of 2 is y = 2x - 2

<h3>How to find equation of a line?</h3>

The equation of a line can be represented as follows:

y = mx + b

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learn more on equation of a line here: brainly.com/question/22019640

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