3 years ago

Write an equation that passes through -2 and 5 and perpendicular to x=7? y=mx+b

Mathematics

1 answer:

GarryVolchara [31]3 years ago

4 0

Answer:

Step-by-step explanation:

I'm going to assume you mean passes through the point (-2,5) since -2 and 5 could mean a lot of different things

To find the perpendicular line's gradient, you would know that m1*m2 = -1

In this case m1 = 7, so m2 must be -1/7

Now we substitute the gradient into the equation

y = -1/7x + b

To find b, we substitute (-2,5) into the equation above

5 = -1/7*-2+b

5 = 2/7 + b

b = 33/7

Therefore the equation of the line is

y = -1/7x+33/7

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