Question

A line / passes through point (-2, 5) and has the same y-intercept as
the line y-3x-4. What is the equation for the line /?

Answer 1

I'm assuming you meant to write y = 3x-4

We know that the y-intercept of the given line is (0,-4), so we need to find the equation of the line passing through (-2,5) and (0,-4).

The slope is

$\frac{-4-5}{0-(-2)}=-\frac{9}{2}$

So, this means the equation is $\boxed{y=-\frac{9}{2}x-4}$