Question

1.

Rule/Equation: y = slope (x) +/- y-intercept
OR y = m(x) +/- b
X
2
6
10
14
18
y
12
8
4
0
TABLES TO EQUATIONS #2
-4
Slope (growth rate):
y-intercept (starting value):
2
Equation:

Answer 1

Explanation:

x y

2 12

6 8

10 4

14 0

18 -4

The slope is the Rise/Run, or change in y over the change in x. Pick any two points. I'll choose (2,12) and (18,-4),

Rise = (-4 - 12) = -16

Run = (18 - 2) = 16

Slope = Rise/Run = -16/15, or -1

The equation becomes y = -1x + b

To find b, use any of the points in the equation and solve for b. I'll use (14,0):

y = -1x + b

0 = -1(14) + b

b = 14

The equation is y = -x + 14

See the attached graph.