Question

A line passes through (2, -1) and (8, 4).

(a)Write an equation for the line in point-slope form
(b)Rewrite an equation in standard form using integers

Answer 1

Slope of the line = (4--1) / (8-2) = 5/6

point slope form is y-y1 = m(x-x1) where m=slope and (x1,y1) is a point on the line
so the answer to (a) is y + 1 = (5/6)(x - 2) Answer

(b) multiply the above equation by 6:-

6y + 6 = 5(x - 2)

6y + 6 = 5x - 10

5x - 6y = 16 is the equation in standard form Answer