How do you write the equations of a line passing through (2,5) and (1,3) in standard form?

1 Answer
Oct 20, 2015

-2x+y=12x+y=1

Explanation:

x_1=2x1=2
y_1=5y1=5
x_2=1x2=1
y_2=3y2=3

(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)(yy1)=y2y1x2x1(xx1)
(y-5)=(3-5)/(1-2)(x-2)(y5)=3512(x2)
(y-5)=(-2)/(-1)(x-2)(y5)=21(x2)
(y-5)=2/1(x-2)(y5)=21(x2)
y-5=2x-4y5=2x4
y=2x-4+5y=2x4+5

y=2x+1y=2x+1
-2x+y=12x+y=1