The slope of the perpendicular line needs to be the reciprocal of the other. To get reciprocal, switch the numerator and denominator with each other and flip the sign.
-5/4 ⇒ 4/-5 ⇒ 4/+5, or 4/5.
y = 4/5x + b
Input the coordinate point values and solve for b.
3 = 4/5(5) + b Simplify. 3 = 4 + b Subtract 4 from both sides. -1 = b
y = 4/5x - 1
Now, we must convert this into Standard Form. It cannot contain any fractions and A, or the first number, cannot be negative.
y = 4/5x - 1 Subtract 4/5x from both sides. -4/5x + y = -1 Multiply everything by -5 to make A positive and a whole number. 4x - 5y = 5
