Question

What is the slope-intercept equation for the linear function represented by the

table?
O A. y=x+5
OB. y=-x+5
O c. y = x-5
OD. y=-x-5
x 0
4 8 12 16
1 3
y -5 -3 -1

Answer 1

The linear equation for the table:

x: 0, 4, 8, 12, 16

y: -5, -3, -1, 1, 3

is:

y = (1/2)*x - 5

How to get the linear equation?

Here we have the following table:

x: 0, 4, 8, 12, 16

y: -5, -3, -1, 1, 3

Remember that a linear equation in the slope intercept form is:

y = ax + b

Where a is the slope and b is the y-intercept.

For the first pair (0, -5) we can see that the y-intercept is -5

y = ax - 5

With the second pair (4, -3) we can replace the values:

-3 = a*4 - 5

-3 + 5 = a*4

2 = a*4

2/4 = a

1/2 = a

The linear equation is:

y = (1/2)*x - 5