Question

Please Help! Will give medal and become fan
Write the equation of the line that is parallel to the line y = 2x + 2 and passes through the point (5, 3).
y=2x - 17
y= -1/2x - 2
y=2x - 2
y=-1/2x - 7

Answer 1

The equation you'll want to use here is:
\[y-y_1 = m(x-x_1)\]Where m is the slope, x_1 and y_1 are the coordinates of any point on the line. Since the line is parallel to y=2x+2, it must have the same slope, so m=2. Now, just plug in the slope and your point (5,3) and simplify.

Answer 2

So it will be the second one?

Answer 3

Parallel lines have the same slope.
The line you have is in the slope-intercept form,
\(y = mx + b \)
where
\(m = \) slope, and
\(b = \) y-intercept

Answer 4

No, the second one has a slope of -1/2 and not 2.

Answer 5

Then the first one because it has the slope of 2

Answer 6

Now look at your line:
\(y = 2x + 2\)
When you compare it with \(y = mx + b\), you see that the slope m = 2.
Since parallel lines have the same slope, the line you are looking for also has a slope of 2.
That means the line you need has the equation:
\(y = 2x + b\)
Now we need to find b.
Since you have a given point, \((5, 3)\), insert the x- and y-coordinates of the point into
\(y = 2x + b\) and solve for b:
\(y = 2x + b\)
\(3 = 2(5) + b\)
\(3 = 10 + b\)
\( -7 = b\)
Now that you know that \(b = -7\), insert that value in the equation
\(y = 2x + b\) getting:
\(y = 2x - 7\)

Answer 7

so that wouldnt be it?

Answer 8

Perhaps the original poster has a typo.
I think choice A shoud read
\(y = 2x - 7\), not \(y = 2x - 17\).

Answer 9

Thank you so much

Answer 10

You're welcome.

Answer 11

Can you do another problem please

Answer 12

Yes. Please start a new post.

Answer 13

ok