Find the equation of the line passing through the points

Question

a.) A (0,0) and B (1,-1)

b.) C (1,3) and D (2,5)

c.) E (2,4) and F (-2,3)

Answer 1

1) y=-x

2) (1,3) and (2,5) have a line through them with slope = (5-3)/(2-1) = 2 = (y-3)/(x-1)

y-3 = 2x-2

y = 2x +1 is the line, in slope intercept form

3) (2,4) and (-2,3) have a line slope = (4-3)/(2+2) = 1/4 = (y-4)/(x-2)

y-4= x/4-1/2

y = x/4 +7/2