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

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

1

x = 1

step-by-step explanation:

0 ÷ x = 0

0 ÷ 1 = 0