Question

What is the equation of the line that passes through the point (2, 5) and has a slope of 2?

y = 2x + 1

y = 2x + 3

y = 2x - 8

y = 2x - 3

Answer 1

The point slope form, maybe?\[y - y_0 = m(x - x_0)\]Where \((x_0, y_0)\) is your point and \(m\) is your slope.

Answer 2

Hmm? Can you show me how you would do that?

Answer 3

Here, you have \(x_0 = 2\), \(y_0 = 5\) and \(m = 2\). Can you substitute those values in \(y - y_0 = m(x - x_0)\)?

Answer 4

So, y - 5 = 2(x - 2)?

Answer 5

That's right. Simplify that equation by bringing it into the form \(y = \cdots\)

Answer 6

Ok, Im a little confused on the first part would we subsitute 1 for y and do 1-5?

Answer 7

What's the first part?

Answer 8

y -5

Answer 9

No, you would leave \(x\) and \(y\) the way they already are. :-)

Answer 10

You have \(y - 5 = 2(x - 2)\). First expand \(2(x - 2)\).

Answer 11

Ok , 2x - 4

Answer 12

Yes, now bring that \(-5\) to the other side.

Answer 13

By adding?

Answer 14

I mean... you have \(y -5 = 2x - 4\). And you have to get \(y\) by itself, so...?

Answer 15

Yesh, you add \(5\) to both sides!

Answer 16

So y = 2x - 9?

Answer 17

Hmm...

Answer 18

\[y = 2x - 4 + 5\]

Answer 19

What is \(-4 + 5\)?

Answer 20

OHHHH! -4

Answer 21

Hmm...

Answer 22

y = 2x + 1

Answer 23

Correct!

Answer 24

Yay! Thank you soo much!

Answer 25

No problem :-)