Question

find the equation of a line , in slope-intercept form of a line that passes through the point (-5,-1) and is parallel to the line -2x+4y=8

Answer 1

Solution

For this case we need to have the same slope and we can find it from the original equation and we got:

4y = 8+2x

y = 2 +1/2x

So then the slope is :

$m=\frac{1}{2}$

We need to have the same slope and we can do the following:

$-1=\frac{1}{2}(-5)+b$

And solving for b we got:

$b=-1+\frac{5}{2}=\frac{3}{2}$

And then the equation would be given by:

$y=\frac{1}{2}x+\frac{3}{2}$