This is a linear function of the form y = mx +b. Moreover we notice in reading the graph that y-intercept is 2 and x-intercept is -3. Thus the 2 coordinates which are given are A(0,2) and B(-3,0)
Now we can find its equation:
1st calculate the slope of AB: (y₂-y₁)/(x₂-x₁) = m
(0-2)/(-3-0)= 2/3 → y = (2/3)x + b
2nd calculate b: Replace x and y by any of either A coordinates or B's
Let's take A for instance: 2= (2/3)(0) +b → b=2 and the final equation:
y= (2/3).x + 2
