Question

Draw the line that is parallel to y = 2x + 5 and passes

through the point (2,3). Select the point through which the
graph passes.
C
D
A
E​

Answer 1

I hope you did good

Explanation:

I see that it's from an hour ago, I hope you did well <3

Answer 2

point C (-1, -3)

Explanation:

The line you are looking for already has two givens: m = 2 and it has coordinate (2,3) on it. You can plug these in to find the equation of the line and then see which of the 4 points it must pass through.

3 = 2(2) + b

-1 = b

the line you are looking for is y = 2x - 1

First, you can rule out points D and B, because after a quick look, you can see that a line with a slope of 2 wouldn't come close to the point (2,3). Now you can choose between C (-1, -3) and A (-2, -3).

Now you can plug in the points C and A into the equation of the line that was obtained in the first part of this answer.

checking point A: -3 = 2(-2) - 1

-3= -5

not true, so now we check point C

checking point C: -3 = 2(-1) - 1

-3 = -2 - 1

-3 = -3

true, so the point must be C