whats the standard form of the equation of the line that passes through each of the two pairs?

Question

the two pairs are: (0,5),(-2,0)

Answer 1

Given points say (x1,y1) = (0,5)

(x2,y2) = (-2,0)

Standerd form of line y-y1 = [(y2-y1)/(x2-x1)](x-x1)

y-5 = [(0-5)/(-2-0)](x-0)

y-5 = (-5/-2)x

y-5 = (5/2)x

2(y-5) = 5x

2y-10 = 5x

Add 10 to each side.

2y-10+10 = 5x+10

Divide to each side by 2.

2y/2 = (5x+10)/2

Line equation is y = (5/2)x+5