What is the equation of a line that passes through the point (-1, 3) and is parallel to y=2x -7

So because it’s parallel you’re gonna have the same slope. You need to use point slope formula to find the equation of the line

y-y1=m(x-x1). Here, x1= -1 and y1=3. Your m is the slope which is parallel which means you’re gonna have the same slope. Our equation is given in y=mx+b form so our m is 2 so the parallel slope is 2. So m=2, x1=-1, y1=3

Plugging all of these in you have

y-3=2(x-(-1))

Simplifying we have

y-3=2(x+1)

Applying distributive property we have

y-3=2x+2

adding 3 to each side we get

y=2x+5

Hope this helps!!!