530,462 views
14 votes
14 votes
What is the slope of the line graphed below ? (3, 5); (0, 1); m = A 1/3 B. 3 C. - 3; - 1/3

User Kurt Revis
by
2.5k points

1 Answer

23 votes
23 votes

Answer:

4/3 = m

Explanation:

Since you have been given the value of two points, you can use the point-slope formula to find the slope. This general structure of this formula is:

y₁ - y₂ = m(x₁ - x₂)

In this equation, "m" represents the slope, "y₁" and "x₁" represent the values in the first point, and "y₂" and "x₂" represent the values in the second point,

To find the slope, substitute the values of each point into the formula and simplify.

Point 1: (3, 5)

Point 2: (0, 1)

y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form

5 - y₂ = m(3 - x₂) <----- Plug values from Point 1 into equation

5 - 1 = m(3 - 0) <----- Plug values from Point 2 into equation

4 = m(3 - 0) <----- Simplify left side

4 = m(3) <----- Simplify inside the parentheses

4/3 = m <----- Divide both sides by 3

I am almost certain that my math is correct, yet my answer does not match any of the answers given. Perhaps I have been given the wrong points? For instance, the answer would be A.) if the value of Point 2 was (0,4).

User MrLehiste
by
3.1k points