Question

Write the equation of the line that is parallel to the line y = 2x + 2 and passes through the point (5, 3).

y = 2x − 7

y = −one halfx − 2

y = 2x − 2

y = −one halfx − 7

Answer 1

@RadEn ?

Answer 2

@jhonyy9 ?

Answer 3

@Rogue

Answer 4

Hiya.

Answer 5

The slope intercept form of a line is \[y = mx + b\] where m is the slope and b is the y-intercept.

In order for lines to be parallel, they have to have the same slopes, so which answer choices can you eliminate?

Answer 6

I could eliminate the first and last choices?

Answer 7

Well the slope of the line y = 2x + 2 is 2, so the slopes of your parallel lines will also have to be 2. The lines in choice 1 & 3 have slopes 2, so they can possibly be the answer.

The lines in choice 2 & 4 do not have slope 2, so they can't be parallel and so you can eliminate them.

Answer 8

So out of choice 1 & 3,

Choice 1: y = 2x − 7
Choice 3: y = 2x − 2

Which one passes through the point (5, 3)?

Answer 9

Choice 1.?
Sorry, I'm horrible at math.

Answer 10

Yeah, it's 1, good job :)

When you plug in the point (5, 3) into the equation, you should get both sides to be equal.
y = 2x − 7 <--- (5, 3}
3 = 2*5 - 7
3 = 10 - 7
3 = 3

That makes sense and so the point (5, 3) is on that line.

Answer 11

Awesome. :) Thanks so much.

Answer 12

No problem =)