Question

How do you graph `y-2=3(x+5)`?

Answer 1

First of all, let's do some manipulations: expanding the product on the right side, we get
`y-2=3x+15`
Adding 2 at both sides:
`y=3x+17`
Now we have expressed the line in the standard form `y=ax+b`. To draw a line, you need to have two point which surely belong to the line, and then connect them. Let's choose two easy points: for `x=0` we have `y=17`, so the point `(0,17)` belongs to the line. If `x=-5`, we have `y=-15+17=2`, so the point `(-5,2)` also belongs to the line. Now, you just need to draw them on the plain and then connect them. Here's the graph:
graph{y=3x+17 [-23.1, 28.2, -9.25, 16.42]}