Question

What is an equation if the line that passes thriugh the point (-4,-6) and is parallel to the line 3x - y = 6

Answer 1

the desired equation is 3x - y = -6

Explanation:

Recall that parallel lines have the same slope. Thus, the desired line has an equation of the form 3x - y = C, where C is determined by the coordinates of the point (-4, -6).

3x - y = C becomes 3(-4) - (-6) = C after substitution of -4 and -6 for x and y respectively. Then -12 + 6 = C, and C = -6.

Thus, the desired equation is 3x - y = -6

Answer 2

3x - y = 6
3x = 6 + y
y = 3x - 6, slope = 3
Y = 3x + b
-6 = 3(-4) + b
-6 = -12 + b, b = 6
Solution: y = 3x + 6