slope, intercepts, and graphing equations

Question

graph a line with a slope of 2 and goes through the point (-1,3), so is the Y intercept -7?

Answer 1

If we use the equation y=mx+b and plug in the values we know, we can solve for the y intercepts

Plug in values and simplify

3=2(-1)+b

3=-2+b

Add 2 to both sides and simplify

3+2=-2+b+2

5=b

So the equation is

y=2x+5