Question

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

Answer 1

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

$m=\frac{y_2-y_1}{x_2-x_1}$     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]

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{9-14}{23-(-32)}$  [two negative signs cancel each other out and become positive]

$m=\frac{9-14}{23+32}$

$m=\frac{-5}{55}$    Simplify the fraction

$m=-\frac{1}{11}$

Answer 2

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.