Question

A triangle has vertices A (1,1) B (2,4) and C (4,2). Line p is parallel to side AB and contains point C. Write an equation for line p. Part 1. Find the slope of AB. Show your work. Part 2. Use the slope from Part 1 and point C to write an equation for line p in slope-intercept form. Show your work.

Answer 1

Answer:

part 1: slope of AB : 3

equation of line p:  y = 3x -10

Step-by-step explanation:

part 1: slope of AB = (4-1) / (2-1) = 3

part 2: y = mx + b

b = 2 - (3 × 4) = -10

equation: y = 3x -10