Answer:
y= -5x+4
Step-by-step 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
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-1-(-6)}{1-2}\\\frac{5}{-1}=-5[/tex]
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
