Question

Parallel Lines A line is parallel to y = 2x - 8 and intersects the point (-4,-1). What is the equation of this parallel line?

Answer 1

Answer:

y= 2x+7

Step-by-step explanation:

Since the line is parallel to y = 2x - 8 it has slope m= 2

The equation of the line passing through (-4,-1) is given by,

$\frac{y - ( - 1)}{x - ( - 4)} = m$

$\frac{y + 1}{x + 4} = 2$

$y + 1 = 2(x + 4)$

$y + 1 = 2x + 8$

$y = 2x + 8 - 1$

$y = 2x + 7$