Question

Find the equation of the line in slope intercept form that passes through (0,4) and is parallel to the line 4x-3y=12?

Answer 1

y=−4/3x+8

Explanation:

y=mx+b

4x+3y=12→y=−4/3x+4

y=−4/3x+b

4)=−4/3(3)+b→b=8

y=−4/3x+8

Answer 2

y=−4/3x+8

Explanation:

Let’s say that the parallel line takes on this form.

y=mx+b

If the line is parallel, that means that the m of the two lines are equal.

If we solve the line we were given for y, we find…

4x+3y=12→y=−4/3x+4

so, we know that our line that we’re trying to find must be of the form

y=−4/3x+b

Now we can plug in a point to fix that b part.

(4)=−43(3)+b→b=8

So, that means…

y=−4/3x+8