Help with ACT Question Please

Test Preparation ACT Preparation
1

So I get around a 2000 on the SAT and am taking the ACT this February. My English and Reading scores are far above my math and science (31/32 compared to ~25). If someone could help with this math question that’d be much appreciated:

Which of the following is the equation of a line that contains the point (1, -3) and is perpendicular to the line 3x-6y=4
A. y+2x+5=0
B. y+2x+1=0
C. y-2x+5=0
D. 2y+x+5=0
E. 2y-x-7=0

I can get it to the point where it’s y=1/2x-(2/3) and I know that the perpendicular line has a slope of -2 but I don’t know what to do from there. I know this is basic but it’s confusing me. Thanks

2

y = -2x + b
-3 = -2*1 + b --> b = -1

Eq. of perpendicular line: y = -2x - 1
Rewrite to 2x+y+1 = 0, B

3

^what he said. Negative reciprocal and just plug in the given plot points.