Question

Help please dumb it down for me

Answer 1

-6

5

Explanation:

• Y2 is -8
• Y1 is 4
• X2 is 5
• X1 is -5

Y2 - Y1

X2 - X1

-8 - 4

5 - - 5

-12

10

SIMPLIFIED: -6

5

Here's how it's simplfied:

It's -6/5 because both -12 & 10 can be divided by 2, to get -6/5 as you answer.

Hope this helps you!!! :)

Answer 2

y = -
`(6)/(5)` x - 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 ) = (- 5, 4) and (x₂, y₂ ) = (5, - 8)

m =
`(-8-4)/(5+5)` =
`(-12)/(10)` = -
`(6)/(5)`

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

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

using (5, - 8), then

- 8 = - 6 + c ⇒ c = - 8 + 6 = - 2

y = -
`(6)/(5)` x - 2 ← is the equation of the line