SOLUTION: Please help me solve this problem: Write an equation that passes through the point (4, 2) and is (A) parallel and (B) perpendicular to the line y=2x-3. I tried solving a few pairs

Algebra ->  Linear-equations -> SOLUTION: Please help me solve this problem: Write an equation that passes through the point (4, 2) and is (A) parallel and (B) perpendicular to the line y=2x-3. I tried solving a few pairs       Log On


   

Question 1081157: Please help me solve this problem: Write an equation that passes through the point (4, 2) and is (A) parallel and (B) perpendicular to the line y=2x-3. I tried solving a few pairs of coordinates for y=2x-3 such as (0, -3), (1, -1), (2, 1), (3, 3), (4, 5), and (5, 7). Please help on this question. Thank you!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Line passing through (4,2) and parallel to y=2x-3

y=mx%2Bb
b=y-mx
b=2-2%2A4, substituting for the coordinates of the point
b=-6
-
highlight%28y=2x-6%29




Line through (4,2) and perpendicular to y=2x-3
(Now the slope you want to use must be negative reciprocal of the slope of the given line; given line slope is 2, so slope for a line perpendicular will be -1%2F2.)
b=2-%28-1%2F2%29%2A4-----same formula for b as before, but now use slope -1%2F2;
b=2%2B4%2F2
b=2%2B2
b=4
-
highlight%28y=-x%2F2%2B4%29