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 𝑥. Another way to write it, 𝑦 two minus 𝑦 one over 𝑥 two minus 𝑥 one. So let’s use this formula and find the slope.
We’re given these two points, and we wanna label them as 𝑥 one, 𝑦 one; 𝑥 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 𝑥 two, and two for 𝑥 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.