how do you do this? this is the full question and all info:

Question

"A line with a slope of -3 passes through the point (k,4). Find the y-intercept of the line in terms of k."

I would like to know how to do this along with the answer so i can know im doing it right please!!

Answer 1

Hopefully you know the slope equation: y=mx+b
You know that m=slope, so you can say:
y=-3x+b
next, substitue k for x, 4 for y.
4=-3k+b
b=4+3k

Now, you have an equation.
y=-3x+3k+4
finally, y-intercept is where x=0. So substitue 0 for x.

y=-3(0)+3k+4
y=3k+4

y-intercept is 3k+4