What is the equation of a line that goes through $(4,2)$ and $(0,2)$ ?

Question

5671 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-09T07:07:01

$color(blue)(y = 2$

$A_1 (4,2), A_2 (0,2)$

Equation of a line given two points on the line is

$(y-y_1) / (y_2 - y_1) = (x - x_1) / (x_2 - x_1)$

$(y - 2) / (2 - 2) = (x - 4) / (0 - 4)$

$(y - 2) * (0 - 4) = (cancel(color(red)(2 - 2)))^color(green)(0) * ((x - 4)$

$(y - 2) * -4 = 0$

$-4y + 8 = 0$

$-4y = -8$ or $y = (-8) / (-4 )= 2$

What is the equation of a line that goes through (4,2)(4,2) and (0,2)(0,2)?