Question

The table represents points on a line. What is the slope
X 1 4 7 10
Y 8 6 4 2

Answer 1

slope = -
`(2)/(3)`

Explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (1, 8) and (x₂, y₂ ) = (10, 2) ← 2 ordered pairs from the table

m =
`(2-8)/(10-1)` =
`(-6)/(9)` = -
`(2)/(3)`