Givens
Point1: (4,12)
Point2: (20,36)
Both have been read from the table.
Slope
y2 = 36; y1 = 12; x2 = 20; x1 = 4
Formula
[tex]\text{m = } \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
m = (36 - 12)/(20 - 4)
m = 24/16 = 3/2 = 1.5
Statement
a and d are both incorrect. The slope is wrong.
Y intercept.
Use one of the points to find the y intercept.
So far what you have y = 1.5 x + b
Use (4,12) to solve for b.
12 = 1.5*4 + b
12 = 6 + b Subtract 6 from both sides.
12 - 6 = b
b = 6
Answer
y = 1.5x + 6
