Write an equation for the line that is parallel to the given line and passes through the given point. y=2x+4; (3,8)
A. y = 2x + 2
B. y = 2x + 6
C. y = -2x + 6
D. y = -1/2x + 2**
Am I correct?
2 answers
I'm sorry, but the answer is not C or D, because a parallel line would have the same slope, which is 2. You are probably thinking of a perpendicular line, which would have a slope of -1/2. Try A or B.Hopefully you get it!
Slope(m) = 2, P1(3,8), P2(x,y).
m = (y-8)/(x-3)
2 = (y-8)/(x-3)
Cross multiply:
2(x-3) = (y-8)
2x-6 = y-8
Eq: Y = 2x + 2.
Check: Y = 2*3 + 2 = 8.
m = (y-8)/(x-3)
2 = (y-8)/(x-3)
Cross multiply:
2(x-3) = (y-8)
2x-6 = y-8
Eq: Y = 2x + 2.
Check: Y = 2*3 + 2 = 8.