Question

Write the equation, in standard form, for the following relation. B = {(x, y ): (2, 3), (4, 4), (6, 5), . . .}

Answer 1

(2,3)(4,4)
slope = (4 - 3) / (4 - 2) = 1/2

y = mx + b
slope(m) = 1/2
(2,3)...x = 2 and y = 3
sub and find b, the y int
3 = 1/2(2) + b
3 = 1 + b
3 - 1 = b
2 = b

ur equation is : y = 1/2x + 2...but we need it in standard form

y = 1/2x + 2
-1/2x + y = 2 ...multiply by -2
x - 2y = -4 <== standard form