Question

Can someone help me find this answer?

Answer 1

(0, - 23 )

Explanation:

Find the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 72, 25) and (x₂, y₂ ) = (- 36, 1) ← 2 ordered pairs from the table

m =
`(1-25)/(-36+72)` =
`(-24)/(36)` = -
`(2)/(3)` , thus

y = -
`(2)/(3)` + c

To find c substitute any ordered pair into the equation

Using (- 54, 13 ) , then

13 = 36 + c ⇒ c = 13 - 36 = - 23 ← y- intercept

Thus coordinates of y- intercept = (0, - 23 )