Question

Pls help me! And explain how you found the answer pls

Answer 1

Answer:

y = $\frac{1}{2}$ x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

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 ) = (- 22, - 14) and (x₂, y₂ ) = (- 18, - 12)

m = $\frac{-12+14}{-18+22}$ = $\frac{2}{4}$ = $\frac{1}{2}$ , thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 18, - 12) , then

- 12 = - 9 + c ⇒ c = - 12 + 9 = - 3

y = $\frac{1}{2}$ x - 3 ← equation of line