Question

Write the equation of the line that is parallel to AB if A (4, 15) and B (9, 25) and through C (-6, -15)

Answer 1

Answer:

y = 2x - 3

Step-by-step explanation:

Calculate the gradient of AB.

m = (y2 - y1) / (x2 - x1)

m = (25 - 15) / (9 - 4)

m = 2

The line parallel to AB will have the same gradient.

Use the equation y - y1 = m * (x - x1) and consider the gradient and point C through which the parallel line passes. This is to find the equation of the line parallel to AB in gradient-intercept form y = mx + c.

y + 15 = 2 * (x + 6)

y + 15 = 2x + 12

y - 2x = 12 - 15

y - 2x = -3

y = 2x - 3