Question

Line P passes through the point (3,4) and is Perpendicular to the line with equation 3x+2y=8. What is the equation for line p?

Answer 1

Answer:

y = 2/3x + 2

Step-by-step explanation:

3x + 2y = 8

2y = -3x + 8

y = -3/2x + 4

Slope : -3/2

Slope of the perpendicular line: 2/3 (slope of the perpendicular line is opposite reciprocal)

Point (3,4)

y-intercept = 4 - (2/3)(3) = 4 - 2 = 2