How do you find the slope between two points A and B? Point A has coordinates (4,2), Point B has coordinates (7,3)

Answer 1

To find the slope, m, between two points we're going to use the following equation:

m = (y₂-y₁) / (x₂-x₁)

HINT: this equation is equivalent to rise / run

Let's choose Point A (4,2) as our first point: so x₁ = 4 and y₁ = 2

HINT: remember x comes before y in coordinates (x,y)

Point B (7,3) is our second point, so x₂ = 7 and y₂ = 3

Substituting our coordinates into m = (y₂-y₁) / (x₂-x₁) we now get:

m = (3-2) / (7-4) = 1/3

So the slope between our two points is 1/3

Answer 2

Use the formula

slope = y₂ - y₁

x₂ - x₁

Let (4,2) be point 1. Then x₁ = 4 and y₁ = 2

Let (7,3) be point 2. Then x₂ = 7 and y₂ = 3

Lastly, plug these values into the formula