Question

The points in each table lie on a line. Find the slope of the line.

O 1/2
O 1
O 2
O None of the above

Answer 1

1

Explanation:

Given table:

x -1 1 3 5

y -2 0 2 4

Unknown:

Slope of the line = ?

Solution:

Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;

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

let us take;

x₁ = -1 x₂ = 3

y₁ = -2 y₂ = 2

Insert the parameters and solve;

Slope =
`(2 - (-2))/(3- (-1))` =
`(4)/(4)` = 1

The slope of the line is 1