Question

(-4,9),(6,4) in point slope form

Answer 1

Answer: $y-4=-\frac{1}{2} (x-6)$

Step-by-step explanation:

The point-slope form is y-y₁=m(x-x₁). y₁ and x₁ are from a point, and m is slope.

To find slope, we use the formula $m=\frac{y_2-y_1}{x_2-x_1}$.

$m=\frac{4-9}{6-(-4)}=\frac{-5}{10}=-\frac{1}{2}$

Now that we have the slope, we can fill in our point-slope form equation.

$y-4=-\frac{1}{2} (x-6)$