Question

What is the slope of the line graphed below?

Answer 1

Answer:

A

Step-by-step explanation:

Use rise over run. The graph rises by 9 units between the 2 points and runs 3 units on the x axis.

Rise/ run = $\frac{9}{3}$, which can be simplified to 3.

The slope is 3.

Answer 2

Answer:

3(A)

Step-by-step explanation:

To find the slope, you have to find the difference of the two y values divided by the difference of the two x values. The equation for that would be y₁ - y₂ divided by x₁ - x₂. Let's say for this problem (x₁, y₁) is (3,3) and (x₂, y₂) is (0, -6). (It has a subscript just to show that they are different x and y values)

We can then substitute these values into the equation.

y₁ - y₂ divided by x₁ - x₂ would be 3 - (-6) divided by 3-0

This would then be simplified into

3+6 (2 negatives make a positive) divided by 3

This equals 9/3 which equals 3 as the slope.