What is the slope of the line that passes through the points ( 23 , 9 ) & ( Negative 32 , 14 ) ?

How to get this

Use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (14 - 9)/(-32 - 23)

m = (5)/(-55)

m = -1/11

The negative slope means the line goes downhill as you read it from left to right.

To find the slope (m), use the slope formula:

    and plug in the two points

(-32, 14) = (x₁, y₁)

(23, 9) = (x₂, y₂)

[lines usually go from left to right, so the point furthest to the left is the 1st point]

 [two negative signs cancel each other out and become positive]

   Simplify the fraction

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: