SOLUTION: Find the y-intercept. -x+3y=15 Determine which two equations repreent perpendicular lines. a. y=4/7x-3 b. y=3x-4/7 c. y=-1/3x+4/7 d. 1/3x-4/7. Write the equat

Algebra ->  Algebra  -> Graphs -> SOLUTION: Find the y-intercept. -x+3y=15 Determine which two equations repreent perpendicular lines. a. y=4/7x-3 b. y=3x-4/7 c. y=-1/3x+4/7 d. 1/3x-4/7. Write the equat      Log On

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Question 84513: Find the y-intercept.
-x+3y=15
Determine which two equations repreent perpendicular lines.
a. y=4/7x-3 b. y=3x-4/7 c. y=-1/3x+4/7 d. 1/3x-4/7.

Write the equation of the line passing through (4,4) and (4,2).
Write the equation of the line which has y-intercept (0,5) and perpendicular to the equation y=-3x+1.
Thank you for any help that I can get.
Answer by tutor_paul(427) About Me  (Show Source):
You can put this solution on YOUR website!
Find the y-intercept.
-x%2B3y=15
If you put this equation into y=mx+b form, you can just read off the y-intercept, since that is the 'b' term:
3y=x%2B15
y=%28x%2F3%29%2B5
So the y intercept is 5.
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Determine which two equations represent perpendicular lines.
a. y=4/7x-3 b. y=3x-4/7 c. y=-1/3x+4/7 d. y=1/3x-4/7.
Perpindicular lines have slopes which are negative reciprocals of each other. It is easy to read off the slopes of these 4 lines, since they are all already in y=mx+b form, and m is the slope.
So the answer is (b) and (c), since -1/3 is the negative reciprocal of 3.
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I wil let you try the last 2 parts!
Good Luck,
tutor_paul@yahoo.com