Question

Write an equation for the line that is parallel to the given line and that passes through the given point.

y = 3/4 x – 9; (–8, –18)
@jim_thompson5910

Answer 1

\[y=\frac{ 3 }{ 4 }x-9 (-8,-18)\]

Answer 2

What is the slope of y = 3/4 x – 9

Answer 3

m=3/4 ?

Answer 4

So the slope of any line parallel to this one will also be 3/4

Answer 5

If two lines are parallel, then they have equal slopes

Answer 6

\[\Large y = mx + b\]

\[\Large y = \frac{3}{4}x + b\]

\[\Large -18 = \frac{3}{4}(-8) + b\]

solve for b

Answer 7

b=-12

Answer 8

good, so your equation is

\[\Large y = \frac{3}{4}x - 12\]