Question

What is an equation of the line that passes through the points (2, -6)(2,−6) and (1, -1)(1,−1)? Put your answer in fully reduced form.

Answer 1

y= -5x+4

Explanation:

I'm not sure why you wrote the coordinates twice so I'm going to assume you want the equation of a line that passes through (2, -6) (1, -1)

we want our equation to look like this

y=mx+b

Let's start by finding the slope

we can do that with the following equation

`(y_2-y_1)/(x_2-x_1)`

`(-1-(-6))/(1-2)\\(5)/(-1)=-5`

which means we have

y= -5x+b

we just need b now

we can solve that by plugging in a coordinate

we know that when x= 2 y= -6

so

-6= -5(2)+B

solve for b

-6= -10+b

4=b

Which means our equation is

y= -5x+4