Question

Slope intercept from two points (-10,-7) (-5,-9) find the slope please

Answer 1

y = -
`(2)/(5)` x - 11

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 ) = (- 10, - 7) and (x₂, y₂ ) = (- 5, - 9)

m =
`(-9+7)/(-5+10)` = -
`(2)/(5)`, hence

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

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

using (- 5, - 9 ), then

- 9 = 2 + c ⇒ c = - 9 - 2 = - 11

y = -
`(2)/(5)` x - 11 ← in slope-intercept form