Question

Which equation contains the points (5, 3) and (2, 6)?

A. y = x + 2
B. y = x - 2
C. y = - x + 8
D. y = - x - 8

Answer 1

Well you can find the slope first, do you know how to find it?

Answer 2

\[\Large (x_1,y_1),(x_2,y_2)\]
\[\Large Slope=\frac{y_2-y_1}{x_2-x_1}\]

Answer 3

Yes.

Answer 4

So what do you get?

Answer 5

I got y = x + -7 ):

Answer 6

Hmm maybe try substituting the values
\[\Large Slope=\frac{6-3}{2-5}\]

Answer 7

We get
\[Slope=-1\]

Answer 8

Then use the point slope formula to create a new equation,

Answer 9

\[y-y_3=Slope(x-x_4) \\ \\ y-3=-(x-5)\]
Then simplify it

Answer 10

How'd you get x4?

Answer 11

The x4 is just another variable

Answer 12

We used y3 and x4 from any one of the coordinates,
(5, 3) and (2, 6)

Answer 13

I used (5,3)

Answer 14

I got y = x - 2

Answer 15

How do you get that?
We got
\[ y-3=-(x-5) \\ \\ y-3=-x+5 \\ \\ y=-x+5+3 \\ \\ y=-x+8\]

Answer 16

@strugglingmathkid