Question

Please help! Write the slope-intercept form of the equation for the line.

Answer 1

y = -
`(7)/(8)` x -
`(3)/(2)`

Explanation:

the equation of a line in slope- intercept form is

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (-4, 2 ) and (x₂, y₂ ) = (4, - 5) ← 2 points on the line

m =
`(-5-2)/(4+4)` = -
`(7)/(8)`

y = -
`(7)/(8)` x + c ← is the partial equation

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

using (4, - 5), then

- 5 = -
`(7)/(2)` + c ⇒ c = -
`(3)/(2)`

y = -
`(7)/(8)` x -
`(3)/(2)` ← in slope- intercept form