Question

What is the equation of a line that contains the points (2, −2) and (0, −2)?

Answer 1

There is no slope so you just have to use the y-intercept

y=-2

Answer 2

y = -2

Explanation:

Given two points (2, −2) and (0, −2), the equation of a line containing the line can be gotten using the formula;

y = mx+c where

m is the slope or gradient

c us the intercept

Since there are two points containing x1, y1 and x2, y2, the equation of the line will become;

y-y1 = m(x-x1)

m =∆y/∆x

m = y2-y1/x2-x1

Given x1 = 2, y1 = -2, x2 = 0, y2 = -2

m = -2-(-2)/0-2

m = -2+2/-2

m = 0/2 =0

Since m=0, the equation of the line becomes;

y-(-2) = 0(x-2)

y+2 = 0

y = -2 (This is the required equation)