Question

Can someone walk me through finding an equation for a horizontal line through (-3,5)

Answer 1

If it's horizontal then it has no slope. Thus in the mx+b formula, m==0.

Since it goes through (-3,5), b must be 5.

So the equation would be y=5.

Answer 2

equation of a line is of the form: y=mx+b
where m is the slope and b is the y-intercept
if your line is horizontal, that means the slope is 0
the line will cross the y axis at 5
so y = (0)x+5 or y = 5