Find the x intercept of the line please! and thank you

x intercept at x = -64/3

Step-by-step explanation:

The values in this table are given:

x -38 -23 -8

y 40 30 20

y = ax + b

a is the gradient (or slope).

b = y intercept, which is the pint on the y-axis, where the x coordinate = 0.

a = (-23 - -38) / (40-30) = 15/10 = 3/2

Rewrite to solve for b, which means rewrite so it starts with b = ...

b = y - 3/2 * x

Substitute one point ( -8, 20 )

b = 20 - (3/2 * -8)

b = 20 - ( -12)

b = 20 + 12

b = 32

So now we have the formula for the line:

y = 3/2*x + 32

To find the x intercept, you need to substitute y = 0

0 = 3/2*x + 32

3/2*x = -32

multiply left and right of the = with 2/3 gives:

x = 2/3 * -32

x = -64/3