Question

Which of the following equations represents the line passing through the point (3, -5) and is parallel to the line containing the points (1, 4) and (3, -2)?

Answer 1

y = -3x + 4

Explanation:

Parallel lines have the same slope. First calculate the slope of the line through (1,4) and (3,-2).

`m = (y_2-y_1)/(x_2-x_1)= (4--2)/(1-3) =(6)/(-2)=-3`

For the parallel line, subsitute m = -3 and (3,-5) into the point slope form:

y - - 5= -3 (x-3)

y + 5 = -3(x-3)

y + 5 = -3x + 9

y = -3x + 4