Answer:
[tex]y = 2x - 1[/tex]
You should also try solving it yourself to make sure I did not make any mistake.
Step-by-step explanation:
Equation:
[tex]y = mx + b[/tex]
first we need the slope
[tex]slope = \frac{y1 - y2}{x1 - x2} [/tex]
[tex]slope = \frac{3 - ( - 1)}{2 - 0} = \frac{4}{2} = 2[/tex]
So far the equation will look like this
[tex]y = 2x + b[/tex]
Now to get b just pick one point and insert it into the equation. So I'll just pick (2,3)
[tex]3 = 2 \times 2 + b[/tex]
when you solve this equation you'll get b
[tex]b = - 1[/tex]
We could also check if we get the same answer if we instead use point (0,-1)
[tex] - 1 = 2 \times 0 + b[/tex]
[tex]b = - 1[/tex]
Now we have the equation!
[tex]y = 2x - 1[/tex]
