Write an equation of the line that passes through (2, −2) and is parallel to the line y=3x+9.

Step-by-step explanation:

Parallel lines have the same slope, so we know that our line will have a slope of 3 because y = 3x + 9 has a slope of 3. Now, we can use the point-slope formula of the line to find the equation.

We have y - y₁ = m (x - x₁)          (m = 3, x₁ = 2, y₁ = -2)

               y- (-2) = 3 (x - 2)

               y + 2 = 3x - 6

               y = 3x - 8

Hope this helps!

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.