Question

Complete the table representing a linear function.

Answer 1

(2,10) and (10,90)

Explanation:

First: Find the slope

Formula for Finding Slope

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

Plug in the values (1,0) and (5, 40) in the formula

`(40 - 0)/(5 - 1)` =
`(40)/(4)`

= 10

Slope = 10

Second Step: Find the y-intercept

Slope-Intercept Form Formula: y = mx + b

mx is the slope and b is the y-intercept

0 = 10(1) + b

0 = 10 + b

b = -10

Third Step Plug in the values

x-value is 2

y = 10(2) - 10

y = 20 - 10

y = 10

y-value = 10

y-value is 90

90 = 10x - 10

90 + 10 = 10x - 10 + 10

10x = 100

x = 10