y-int form is y=mx+b
First, let's find the slope, which is rise/run. From the first point to the second point, it goes up 3 and it goes to the right 4. Therefore the slope is 3/4
This is our equation so far:
[tex]y= \frac{3}{4}x+b [/tex]
Now we can pick any point on the graph and substitute x and y. For this example, let's pick the second one. The coordinates for the second point in (x,y) is (1, 2) so plug 1 in x, 2 in y and solve for b.
[tex]2= \frac{3}{4}1+b [/tex]
[tex]2= \frac{3}{4}+b [/tex]
[tex]2- \frac{3}{4}=b [/tex]
1.25=b
Therefore, the final answer is:
[tex]y= \frac{4}{3}x+1.25 [/tex]
