Question

Given that (3,4) and (-1,-4) are point on the same line, use the point (-1,-4) to find a point slope form of equation

Answer 1

y + 4 = 2(x+1)

Explanation:

Begin by calculating the slope m using the slope formula. Then substitute m and (-1,-4) into the point slope form. The point slope form of the line is
`y - y_1 = m(x-x_1)`.

Slope Formula:

`m = (y_2-y_1)/(x_2-x_1) = (4--4)/(3--1)= (8)/(4) = 2`

Substitute m = 2 and (-1,-4).

`y - y_1 = m(x-x_1)\\y --4 = 2(x--1)\\y + 4 = 2(x+1)`