Respuesta :
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.
To find the slope (m), use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] 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]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{9-14}{23-(-32)}[/tex] [two negative signs cancel each other out and become positive]
[tex]m=\frac{9-14}{23+32}[/tex]
[tex]m=\frac{-5}{55}[/tex] Simplify the fraction
[tex]m=-\frac{1}{11}[/tex]
