SOLUTION: here is the what the question asks. Find the slope of the line perpendicular to the following line, now it shows a graph with a line going through the middle and the top point

Algebra ->  Linear-equations -> SOLUTION: here is the what the question asks. Find the slope of the line perpendicular to the following line, now it shows a graph with a line going through the middle and the top point       Log On


   



Question 717216: here is the what the question asks.
Find the slope of the line perpendicular to the following line,
now it shows a graph with a line going through the middle and the top point says (-2,1) and the lower point says (2,-1). please help thanks

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the slope of the lines are negative reciprocals to each other
if m is the slope of the line, the line perpendicular to the that line will have the slope m%5Bp%5D=-1%2Fm
you first need to find the equation of the line going through the (-2,1) and (2,-1) and find its slope
Solved by pluggable solver: FIND EQUATION of straight line given 2 points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-2, 1) and (x2, y2) = (2, -1).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-1-1%29%2F%282--2%29+=+-0.5.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -0.5%2A-2+%2Bb+=+0. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=1--0.5%2A-2+=+0.

y=(-0.5)x + (0)

Your graph:





so, the slope m=-0.5=-1%2F2
then the line perpendicular to the that line will have the slope m%5Bp%5D=-1%2F%28-1%2F2%29=2
that line could be y=2x
see them on a graph:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C-0.5x%2C+2x%29+