Given two points on the line, input the equation of the line in standard form ax + by = c. reduce all fractional answers to lowest terms.
(7, -3), (4, -8)

(7,-3)(4,-8)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (-8 - (-3) / (4 - 7) = (-8 + 3) / -3 = -5/-3 = 5/3

y = mx + b
slope(m) = 5/3
(7,-3)...x = 7 and y = -3
now we sub
-3 = 5/3(7) + b
-3 = 35/3 + b
-3 - 35/3 = b
-9/3 - 35/3 = b
- 44/3 = b

so ur equation in slope int form is : y = 5/3x - 44/3
but we need it in standard form...

y = 5/3x - 44/3
-5/3x + y = - 44/3...multiply by -1
5/3x - y = 44/3...multiply by 3
5x - 3y = 44 <== standard form