Question

What is the equation of a line that
is parallel to the line y = 2x + 7 and
passes through the point (-2, 4)?
A y=- 2x+3
y = 2x + 4
c
y=-3x-2
Dy = 2x + 8
B
a
A
b
B

Answer 1

Answer:

B. y = 2x + 4

Step-by-step explanation:

Parallel lines will share the same slope: therefore, A and C are out ( they are the negative reciprocals of the equation's slope. The y-value from the point given is 4, meaning the y-intercept for the equation of the parallel line has to be 4 to match the criteria given in the question. So the answer is B.

Answer 2

We want to get a line parallel to y = 2x + 7 that passes through the point (-2, 4). We will see that the correct option is D.

Parallel lines

We define general linear equations as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that two lines are parallel if and only if they have the same slope and different y-intercept.

So if we want to have a line parallel to y = 2*x + 7, then our line must also have a slope equal to 2, so we have:

y = 2*x + b

To find the value of b we use the fact that the line passes through (-2, 4), replacing the values of the point in the equation we get:

4 = 2*(-2) + b

4 = -4 + b

4 + 4 = b

8 = b

Then the equation for our line is:

y = 2*x + 8

Then the correct option is D.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386