Question

Find an equation for the line parallel to 4y-36x=16 and goes through the point (-4,5). Answer in form y=Mx+b

Answer 1

Answer:

$y=9x+41$

Step-by-step explanation:

Given line equation as:

$4y-36x=16$

Passing through the point (-4,5)

Solution:

First we convert given line equation in standard form.

$4y-36x=16$

$4y=36x+16$

Divided by 4 both side of the equation.

$y = 9x+4$

So, slope of the above line by comparing with  $y = mx+b$

m = 9

Using point slope formula.

$y - y_{1}=m(x-x_{1})$

We know that the slope of the parallel is same.

Plug in m = 9 and Point $P(x_{1}, y_{1}) = P(-4, 5)$ in above formula.

$y - 5=9(x-(-4))$

$y - 5=9(x+4)$

$y - 5=9x+36$

$y=9x+36+5$

$y=9x+41$

Therefore, The equation of the parallel line is $y=9x+41$