Question

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

Answer 1

Answer: the fraction -1/11

How to get this answer:

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.

Answer 2

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

`m=(y_2-y_1)/(x_2-x_1)` 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]

`m=(y_2-y_1)/(x_2-x_1)`

`m=(9-14)/(23-(-32))` [two negative signs cancel each other out and become positive]

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

`m=(-5)/(55)` Simplify the fraction

`m=-(1)/(11)`