Answer:
y = 3x + 37
Explanation:
Let's look for an equation of the form y=mx+b, whre m is the slope and b is the y-intercept (the value of y when x = 0). The slope, m, can be calculated from the two given points: (-5,22) and (4,49).
Slope is defined as the Rise/Run of the line. That is, how much the line rises (or falls) per unit change in the run, or x value. Take the two points and calculate the Rise and Run:
From (-5,22) to (4,49)
Rise is (49 - 22) or 27 [The final value minus the initial value of y].
Run is (4 - (-5)) = 9 [The final value miuns the initial value of y].
Slope is Rise/Run or 27/9 = 3; m = 3
So we can write y = 3x +b
We need to find a value of b that forces the line through the two points. Easy: Just enter one of the points in the equation we have thus far, and solve for b:
y = 3x +b
22 = 3(-5) +b for (-5,22)
22 = -15 + b
b = 37
The equation becomes y = 3x + 37.
See the attached graph.