Question

Write an equation for the line parallel to y=7x+15 that contains P(9,6). a. y+6=7(x-9) b. x+6=7(y-9) c. y-6=7(x-9) d. y-6=-7(x-9)

Answer 1

The answer is option C

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is

y = 7x + 15

Comparing with the general equation above

Slope = 7

Since the lines are parallel their slope are also the same

Slope of other parallel line = 7

So the equation of the line using point

P(9,6) and slope 7 is

y - 6 = 7( x - 9)

Hope this helps you