Question

What is the x-Intercept of the line?

Answer 1

Answer:

x-intercept: x = 12 → (12, 0)

Step-by-step 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:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$m=\dfrac{54-36}{27-22}=\dfrac{18}{5}\\\\y-36=\dfrac{18}{5}(x-22)$

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

$0-36=\dfrac{18}{5}(x-22)$            multiply both sides by 5

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

$-10=x-22$       add 22 to both sides

$12=x$