Answer:
y = (3/4)x - 1
Step-by-step explanation:
Let's find an equation having the slope-intercept form of y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0)
Slope, m, can be calculated from the Rise/Run between the 2 given points (4,2) and (8,5):
Rise = (5 - 2) = 3
Run = (8-4) = 4
The slope is (3/4), giving us: y = (3/4)x + b
We need a value of b that shifts the line so that it intersects both points. Calculate b by using one of the two given points. I'll use (4,2):
y = (3/4)x + b
2 = (3/4)(4) + b
b = -1
The equation becomes y = (3/4)x - 1
See attached graph.
