Question

Graph the line with slope -3 and passing through (2, 2).

Answer 1

Ok, we are given everything that we could possibly want for this problem!

Slope intercept form is,
\(y=mx+b\)
Where m is slope.
We can plug that in to the equation with what we know.

\(y=-3x+b\)

We are also given a point that it passes through, we would want to plug in those values into the equation.
\((x,y)\rightarrow(2,2)\)

\((2)=-3(2)+b\)
We want to solve that for b, which is our y-intercept.
\(b=2+6=8\)

So that means that we have the equation,

\(\color{blue}{y=-3x+8}\)

Do you think you could graph that line? :D

Answer 2

I think you are fantastic! Thanks so much. :)

Answer 3

You are more than welcome!