Question

This table gives a few (x, y) pairs of a line in the coordinate plane.

Answer 1

Answer:

(12,0)

Step-by-step explanation:

Let us find the equation of the line with the help of two point form of a line

Here take any two coordinates

say (22,36) and (27,54)

The two point form says

$\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Putting the values in above formula

$\frac{y-36}{x-22}=\frac{54-36}{27-22}$

$\frac{y-36}{x-22}=\frac{18}{5}$

$y-36=\frac{18}{5} \times (x-22)$

$y=\frac{18}{5} \times (x-22) + 36$

In order to determine the x intercept we put y = 0 and solve it for x

$0-36=\frac{18}{5} \times (x-22)$

$-36 \times \frac{5}{18}=(x-22)$

$-10=x-22$

adding 22 on both sides we get

x=12

Hence the x intercept is 12