Question

Find the slope-intercept form that passes through (2,-2) and (-4,1)

Answer 1

y=1/2x+1

Explanation:

I think so I'm not an expert

Answer 2

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

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 ) = (2, - 2 ) and (x₂, y₂ ) = (- 4, 1 )

m =
`(1-(-2))/(-4-2)` =
`(1+2)/(-6)` =
`(3)/(-6)` = -
`(1)/(2)` , then

y = -
`(1)/(2)` x + c ← is the partial equation

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

using (2, - 2 ) , then

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

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