Question

What is the slope of the line, reduce the fraction please!!

Answer 1

slope m = -
`(2)/(3)`

Explanation:

calculate the slope m , using the slope formula

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

let (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

substitute these values into the formula for m

m =
`(1-5)/(3-(-3))` =
`(-4)/(3+3)` =
`(-4)/(6)` = -
`(2)/(3)`

Answer 2

Answer: y = (-2/3)x + 3

Explanation:

rise over run to find the slope (-4/6, reduced to (-2/3).

then the y-intercept is 3, so +3.

Putting it all together, you get y = (-2/3)x + 3