Question

Find the slope of the line through the pair of points. A(2, –3), P(2, 9)

Answer 1

the slope of a line through two given points \(\large (x_1,y_1) \) and \(\large (x_2,y_2) \) is the formula: \(\large slope=m=\frac{y_2-y_1}{x_2-x_1} \)

Answer 2

okay they give me these choices

A. 0

B. 2/3

C. - 1/3

D. undefined

Answer 3

let's calculate the values...
\(\large y_2-y_1= \) and \(\large x_2-x_1= \)

Answer 4

ok i just started these so i honestly dont even know

Answer 5

\(\large y_2-y_1= \) means subtract the y-coordinates...

Answer 6

so 1?

Answer 7

\(\large x_2-x_1= \) means subtract the x-coordinates

Answer 8

so it's - 1/3

Answer 9

\(\large (x_1,y_1)=(2, -3) \)
\(\large (x_2,y_2)=(2, 9) \)

Answer 10

okay so what i am understanding from what you just wrote out is it is undefined

Answer 11

\(\large (y_2-y_1)=9-(-3)= \)

Answer 12

...

Answer 13

i'm trying to make you figure this out if you'd only answer my questions...

Answer 14

9 - (-3) = 6?

Answer 15

no... 9-(-3)=12

Answer 16

oh it goes up? ok that was a help next

Answer 17

\(\large (x_2-x_1)= \) ???

Answer 18

2 -9 ? 7

Answer 19

what are the x-coordinates the the two points?

Answer 20

it says A(2, –3), P(2, 9)

Answer 21

so \(\large x_1=2 \) and \(\large x_2=2 \)
so what's \(\large x_2-x_1= \) ???

Answer 22

\(\large x_2-x_1=2-2=0 \)

so \(\large slope=m=\frac{y_2-y_1}{x_2-x_1}=\frac{9-(-3)}{2-2}=\frac{12}{0}=???? \)

Answer 23

12