Answer:
y=12x-45
Step-by-step explanation:
First we want to get y=12(x+4) into Slope intercept form which is y=mx+b and we do that by multiplying 12 by x so we get 12x and multiplying 12 by 4 so we get 48.
Now we have:
y=12x+48
where the slope is 12.
Parallel lines have the same slope. so the line that goes through (4,3) will have the same slope.
Now that we have a slope and a point we want to write an equation in point-slope form: y-y1=m(x-x1)
Step 1 for this: y-3=12(x-4)
Step 2: we will distribute and solve for y so our answer is in slope intercept form.
Step 3: we now have the equation y-3=12x-48 after distributing now we add 3 to -3 so it cancels out and we add 3 to -48 and we get -45
Our answer is y=12x-45
Hope this helps!
