Question

HELP with Geometry . 5 days behind ..
Plans for a stadium are drawn on a coordinate grid. One wall lies on the line y = 2x +3 . A perpendicular wall passes through the point (4,-7). What is the equation of the line that passes through the new wall ?
A . y = -1/2x -5
B. y = 2x-15
C. y = 1/2x -9
D . -2x +1

Answer 1

A perpendicular slope is the opposite reciprocal to the existing slope of 2...the perpendicular line has a slope of -1/2
Using the slope intercept formula, y=mx+b, substitute in what you know (slope & point)
-7=-1/2(4)+b
-7 = -2 + b
-5=b
Using the perpendicular slope and b, write your equation: y=-1/2x-5

Answer 2

Thank you @DSS I did my own work but this is as far as I got ..
m1 x m2 = -1
2 x m2 = -2
m2 = -1/2
y + 7 = -1/2 (x-4)
But I didn't know how to put it into standard form .

Answer 3

ok I'll show you this way

Answer 4

y + 7 = -1/2 (x-4)
y + 7 = -1/2x + 2
y + 7-2 = -1/2x + 2-2
y+5 = -1/2x
(-2)(y+5) = -1/2(-2)x
-2y - 10 = x

My answer says the same if you get rid of the fraction
-2y=(-1/2x-5)
-2y=x+10
-2y-10=x equivalent answers