Question

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

Answer 1

y =
`(1)/(2)` x - 3

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

with (x₁, y₁ ) = (- 22, - 14) and (x₂, y₂ ) = (- 18, - 12)

m =
`(-12+14)/(-18+22)` =
`(2)/(4)` =
`(1)/(2)` , thus

y =
`(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 =
`(1)/(2)` x - 3 ← equation of line