A line passes through the point (2,-2) and is parallel to the line y = 3x + 4. What is its equation?
3 points
y = 3x - 8
8x + 3y = 23
5x + y = 23
y = 8x - 3
Other:

y = 3x - 8

Step-by-step explanation:

Parallel lines have the same slope, while perpendicular lines have negative reciprocal slopes

In order to find a line parallel to y = 3x + 4, we will need to use the same slope, 3.

We can use the point-slope formula y - y₁ = m(x - x₁) where we have our (x₁, y₁) point (2, -2)

Now we just need to plug in our values to solve for the equation of a line

Distributing the negative to the -2 and the 3 to the (x - 2) we get:

Now subtracting 2 from both sides we get

Now since this equation is in the form y = mx + b, nothing further needs to be done and this is the parallel line to the line y = 3x + 4

(x - 2)

here's your solution

=> 8x^2 - 8x - 16

=> taking 8 as common from whole we get,

=> 8(x^2 - x - 2)

=> x^2 - x - 2

=>. now by middle term split ,

factorize this

=>. x^2 - 2x + x - 2

=> taking common from each term

=>. x(x - 2) + 1(x -2)

=> (x + 1) (x - 2)

=> hence your answer is

(x - 2)