Question

Write an equation of a line PERPENDICULAR to
y = 2x + 3 through (-2, 4).

Answer 1

Answer: y= -0.5+8

Step-by-step explanation:

Any line that is perpendicular to a line is the opposite and inverse.

Ex. for a line to be perpendicular to 2, the reverse would be -2 and the opposite is -1/2.

Now we need to focus on the b in y=mx+b.

To do that, we plug in 4 as y and -2 in x to find b.

4=2(-2)+b

4=-4+b

And we find that b is 8.

So in conclusion, y=-0.5+8