Question

Can someone help me find this answer?

Answer 1

Answer:

(0, - 23 )

Step-by-step 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

m = $\frac{1-25}{-36+72}$ = $\frac{-24}{36}$ = - $\frac{2}{3}$ , thus

y = - $\frac{2}{3}$ + 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 )