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

x y

-38 40

-23 30

-8 20
find the x intercept

The x-intercept is the point (22,0)

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

take the points

(-38,40) and (-23,30)

substitute the given values

step 2

Find the equation of the line in point slope form

we have

substitute

step 3

Find the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

so

For y=0

solve for x

Multiply by 3 both sides

therefore

The x-intercept is the point (22,0)

the 3rd option is right

step-by-step explanation: