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Video: Finding the Slope of a Line Given That It Passes through Two Given Points

Kathryn Kingham

What is the slope of the line passing through (2, 14) and (3, 22)?

01:27

Video Transcript

What is the slope of the line passing through point two, fourteen and point three, twenty-two.

To solve this problem, we’ll need the slope formula. The slope formula being the change in 𝑦 over the change in π‘₯. Another way to write it, 𝑦 two minus 𝑦 one over π‘₯ two minus π‘₯ one. So let’s use this formula and find the slope.

We’re given these two points, and we wanna label them as π‘₯ one, 𝑦 one; π‘₯ two, 𝑦 two. Now we wanna plug in our values into the formula.

We’ll substitute the value twenty-two for 𝑦 two, fourteen for 𝑦 one, three for π‘₯ two, and two for π‘₯ one.

Now I need to subtract. Twenty-two minus fourteen equals eight. Three minus two equals one.

The slope of the line that passes through two, fourteen and three, twenty-two equals eight.