Question

What is the parallel line that passes through the point (-6, -3) for the line y= -5/3 x - 3

Answer 1

y = -5/3 x - 13

Explanation:

Parallel lines have the same slope. The slope will be -5/3

y = mx + b

We will substitute -3 for y (-6,-3).

We will substitute -5/3 for m.

We will substitute -6 for x (-6,-3)

-3 = -5/3(-6) + b

-3 =
`(30)/(3)` + b

-3 = 10 + b Subtract 10 from both sides

-3 - 10 = 10 - 10 + b

-13 = b

To write the equation, use -5/3 for m (the slope) and -13 for b (the y-intercept)

y = mx + b

y = -5/3 x - 13

Helping in the name of Jesus.