Question

Write and equation in slope intercept form

Answer 1

(-4, 14) (1, 4)

First, we have to find the slope

$m= \frac{y_2-y_1}{x_2-x_1} \\ \\ m= \frac{4-14}{1-(-4)} \\\\m= \frac{-10}{1+4} \\\\ m=\frac{-10}{5} \\ \\ m=-2$

Now, we use the "point-slope" equation

$y-y_1=m(x-x_1) \\ y-14=-2(x-(-4)) \\y-14=-2(x+4) \\y-14=-2x-8 \\y=-2x-8+14 \\ y=-2x+6$

The equation is "y = -2x + 6"

Answer 2

Y=mx+b
14=1(-4)+18
This could be an example of an equation in slope intersect form, where y=14 and x=-4