Question

Determine the standard form of the equation of the line that passes through (0,5) and (4,0)

Answer 1

(0,5)(4,0)
slope = (0 - 5) / (4 - 0) = -5/4

y = mx + b
slope(m) = -5/4
use either of ur sets of points....(0,5)...x = 0 and y = 5
now we sub and find b, the y int
5 = -5/4(0) + b
5 = b
so ur equation is : y = -5/4x + 5...but we need it in standard form...

y = -5/4x + 5
5/4x + y = 5....multiply everything by common denominator of 4
5x + 4y = 20 <== standard form of Ax + By = C