Question

Help me with this please I have no idea what to do. It says solve for a if the line through the two given points has the given slope a, 3) and (-3, - 1), m = -2

Answer 1

a=-5

Explanation:

When you do this every time the slope will go down 2 and over 1 which is rise over run or slope. You can see the y coordinates go down 4 points and every time is should go down 2 so you will know that it would have gone down 2 times so a+2 should equal -3 so if we subtract 2 from both sides we would get a=-5 and that is our answer.

Answer 2

a = - 5

Explanation:

Calculate the slope m using the slope formula and equate to - 2

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

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (a, 3)

m =
`(3+1)/(a+3)` =
`(4)/(a+3)` = - 2 ( multiply both sides by a + 3 )

- 2(a + 3) = 4 ( divide both sides by - 2 )

a + 3 = - 2 ( subtract 3 from both sides )

a = - 5