Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (9, –2) and (10, 2). Use (9, –2) as the point (x1, y1).

Question

Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (9, –2) and (10, 2). Use (9, –2) as the point (x1, y1).

Answer 1

Cool! You already have everything you need to solve this problem, except slope m.

 

m = (y₂ - y₁) / (x₂ - x₁)

 

You told me to use (9, -2) as (x₁, y₁). So m is

 

[2 - (-2)] / (10 - 9) = 4

 

Now we have m, x₁, and y₁. So the point-slope form is

 

y + 2 = 4(x - 9)

 

Cheers!