Write an equation of the line containing the given point and parallel to the...

M

Missy

New member
...given line.? Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b

(-2,8);6x=7y+3

The equation of the line is y=?
 
First, you have to isolate your y in the first equation:

6x - 3 = 7y
7y = 6x - 3
y = 6/7 x - 3/7

Then, since the line is parallel to the first one, you keep the slope. the only thing that changes is the b. To find that, you plug in the point given:

8 = 6/7 (-2) + b

Then solve for b:

8 = -12/7 + b
b = 8 + 12 /7
b = 68/7

Last, you put it back in the first one:

y = 6/7 x + 68/7
 
Back
Top