Question

What is the x-Intercept of the line?

Answer 1

x-intercept: x = 12 → (12, 0)

Explanation:

We must find the equation of a line.

The point-slope form of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

The formula of a slope:

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

We have the points from the table (22, 36) and (27, 54). Substitute:

`m=(54-36)/(27-22)=(18)/(5)\\\\y-36=(18)/(5)(x-22)`

The x-intercept is for y = 0. Susbtitute:

`0-36=(18)/(5)(x-22)` multiply both sides by 5

`-180=18(x-22)` divide both sides by 18

`-10=x-22` add 22 to both sides

`12=x`