Answer:
[tex]y=\frac{2}{3} x+1[/tex]
Step-by-step explanation:
The slope is found by doing the equation [tex]\frac{rise}{run}[/tex]. When looking at the first two points, it's shown that the rise (difference between the two y values) is 2 (since it increased by 2) and the run (difference between the two x values) is 3 (since it increased by 3).
This gives us a slope of [tex]\frac{2}{3}[/tex].
The +1 is found by looking at the y intercept. The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 1.
The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!
