Answer:
y = (5/2)x + 5/2
Step-by-step explanation:
The coordinates of the given x-intercept are (-1, 0).
As we move to the right from (-1, 0) to (2. 7.5), x increases by 3 and y by 7.5.
Thus, the slope of this line is m = rise / run = 7.5 / 3, or 75 / 30, or 5/2.
Thus, starting from y = mx + b, we have:
7.5 = (5/2)(2) + b, or
7.5 = 5 + b
Thus, b = 2.5, and the equation is
y = (5/2)x + 5/2
check: Is 7.5 = (5/2)(2) + 5/2 true?
Is 7.5 = 5 + 5/2 true? YES
