Question

Can someone help with this please?

Answer 1

y = x - 3

Explanation:

From the table attached,

Scatter plot given in the graph is correct.

Let the equation of the line passing from a point (x', y') is,

y - y' = m(x - x')

m = slope

Slope of the line passing through two points
`(x_2,y_2)` and
`(x_1,y_1)` is given by,

m =
`(y_2-y_1)/(x_2-x_1)`

Therefore, slope of the line passing through the points (11, 8) and (12, 9) will be,

m =
`((9-8))/((12-11)) =1`

Therefore, equation of the line passing through (11, 8) will be,

y - 8 = 1(x - 11)

y = x - 11 + 8

y = x - 3