Question 166991This question is from textbook elementary &intermediate algebra
: A line passing through(2,3) and (5,y) is perpendicular to a line with a slope 3/4. What is the value of y?
This question is from textbook elementary &intermediate algebra
Found 2 solutions by nerdybill, jojo14344:
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! .
Use the "point-slope" form of a linear equation:
y-y1 = m(x-x1)
.
For your problem:
(x,y)=(2,3)
(x1,y1)=(5,y)
m = 3/4
.
Plug it in and solve for y:
y-y1 = m(x-x1)
3-y = (3/4)(2-5)
3-y = (3/4)(-3)
12-4y = (3)(-3)
12-4y = -9
12 = 4y-9
21 = 4y
21/4 = y
.
Answer by jojo14344(1513)  (Show Source):
You can put this solution on YOUR website!
(2,3) and (5,y); perpendicular to a line w/ slope=3/4
Via Point-Slope form: 
But remember, since it's perpendicular, the slope for above points: 
Subst.,
 , cross multiply
 , Answer
We'll check the graph but first let's get the y-intercept:
Via Slope-Intercept: 
Thru points: (5,-1)
 -->  y intercept
let's see the graph,
 --it passes thru points(2,3)(5,-1), see also y-intercept @ (17/3)
Thank you,
Jojo
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