Find the slope of the line through each pair of points (19,-4) (-3,9)

Question

options to answer

a. -22/13

b. 13/22

c. -13/22

d. 22/13

Answer 1

The slope of a line through any two points is the change in the y-values divided the change in the x-values.

There's a formula you can use to find the slope:

m=(y₂-y₁)/(x₂-x₁)

where m is the slope, (x₁,y₁) are the coordinates of the first point, and (x₂,y₂) are the coordinates of the second point.

For this problem we're given the points (19,-4) and (-3,9).

So,

x₁=19

y₁=-4

x₂=-3

y₂=9

Now we can plug these numbers into the formula:

m=(9-(-4))/(-3-19)

Next, let's simplify:

m=(9+4)/(-22)=13/(-22)=-13/22 which is answer choice c.

I hope you found that helpful!

Answer 2

Find the slope of the line through each pair of points (19,–4) (–3,9). options to answer: a) -22/13, b) 13/22, c) -13/22, d) 22/13

Detailed Solution:

Given/Known: (x₁, y₁) = (19, –4), (x₂, y₂) = (–3, 9), Slope: m = (y₂ – y₁) / (x₂ – x₁)

m = (y₂ – y₁) / (x₂ – x₁)

m = ((y₂) – (y₁)) / ((x₂) – (x₁))

m = ((9) – (–4)) / ((–3) – (19))

m = (9 + 4) / (–3 – 19)

m = (13) / (–22)

m = –13 / 22 <== Final Answer (Option: c) -13/22)