Question

Find the equation of the line that passes through he points (2,6) and (-2,4)

Answer 1

First Find slope by using $\frac{y2-y1}{x2-x1}$

$\frac{4-6}{-2-2} = \frac{-2}{-4} = \frac{1}{2}$

Now use point Slope form to find the equation of the line (y-y₁)=m(x-x₁)
(y-6)=$\frac{1}{2}$(x-2) 
y-6=$\frac{1}{2} x-1$
y=$\frac{1}{2} x+5$ is your equation