Question

The table shows a linear function.

Which equation represents the function?

x y

10 -1
5 2
0 5
-5 8

Answer 1

see explanation

Explanation:

A linear equation in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula using any 2 points from the table.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (10, - 1) and (x₂, y₂ ) = (5,2)

m =
`(2+1)/(5-10)` =
`(3)/(-5)` = -
`(3)/(5)`

Note the point (0, 5) is on the y- axis → c = 5

y = -
`(3)/(5)` x + 5 ← equation representing the function