Question

What is the equation of the line that is parallel to y = negative two-thirds x + 4 and that passes through (–2,–2)?

Answer 1

The answer is

y = -2/3x - 10/3

Explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

y = -2/3x + 4

Comparing with the above formula

m / slope = - 2/3

Since the lines are parallel their slope are also the same

Thus

Slope of the parallel line = -2/3

Equation of the line using point ( - 2 , - 2) is

`y + 2 = - (2)/(3) (x + 2)`

`y + 2 = - (2)/(3) x - (4)/(3)`

`y = - (2 )/(3) x - (4)/(3) - 2`

We have the final answer as

`y = - (2)/(3) x - (10)/(3)`

Hope this helps you