Question

Using the chart, find the equation from

the relation.
input x 10 11 12 13
output y 6 7 8 9
y = x + [?]

Answer 1

Answer is -4

Step by step

We know the slope is 1x so for every 1 input we have 1 output. We can graph it and find the y intercept (attached)

We can also find “b” the unknown, we can use one set of points (10, 6) the slope of 1 and the formula

y - y1 = m (x - x1)

y - 6 = 1 ( x - 10)
Multiply

y - 6 = x - 10
Add 6 to both sides to isolate y

y -6 +6 = x -10 +6
Simplify

y = x -4
Again, -4 is our answer