Question

Which equations in point-slope form are equations of the line that pass through the points (4, 5) and (−3, −1)?

Choose exactly two answers that are correct.

Answer 1

A: y - 3 = 7/6 (x - 1)
B: y - 5 = 6/7 (x - 4)
C: y + 1 = 6/7 (x + 3)
D: y - 4 = 7/6 (x - 5)

Answer 2

find the slope first.

Answer 3

\(\LARGE \color{black}{ \displaystyle {\rm m}=\frac{\color{blue}{{\rm y}_1}-\color{red}{{\rm y}_2}}{\color{green}{{\rm x}_1}-\color{darkgoldenrod}{{\rm x}_2}} }\)



where

\(\LARGE \color{black}{ \displaystyle {\rm m} }\) is the slope

\(\Large\color{black}{ \displaystyle (\color{green}{{\rm x}_1}~,~~\color{blue}{{\rm y}_1}) }\) and \(\Large\color{black}{ \displaystyle (\color{darkgoldenrod}{{\rm x}_2}~,~~\color{red}{{\rm y}_2}) }\) are your two points.

Answer 4

plase find the slope for me...

Answer 5

7

Answer 6

no

Answer 7

6

Answer 8

\(\LARGE \color{black}{ \displaystyle {\rm m}=\frac{\color{blue}{{\rm 5}}-\color{red}{{\rm (-1)}}}{\color{green}{{\rm 4}}-\color{darkgoldenrod}{{\rm (-3)}}} }\)

Answer 9

ok

Answer 10

can you finish finding the slope from there?

Answer 11

I'll try

Answer 12

4

Answer 13

\(\LARGE \color{black}{ \displaystyle {\rm m}=\frac{\color{blue}{{\rm 5}}-\color{red}{{\rm (-1)}}}{\color{green}{{\rm 4}}-\color{darkgoldenrod}{{\rm (-3)}}} }\)

\(\LARGE \color{black}{ \displaystyle {\rm m}=\frac{\color{blue}{{\rm 5}}+\color{red}{{\rm 1}}}{\color{green}{{\rm 4}}+\color{darkgoldenrod}{{\rm 3}}} =? }\)

Answer 14

it's either 13 or 7/6

Answer 15

which one is it?

Answer 16

7/6

Answer 17

none of the above you posted.

Answer 18

Now I'm confused

Answer 19

can you add on top and bottom ?

Answer 20

5+1 = ?
4+3= ?

then re-write the fraction

Answer 21

6/7

Answer 22

yes

Answer 23

now, you need to find the line.

Answer 24

\(\large\color{black}{ \displaystyle y-y_{_1}=m(x-x_{_1}) }\)

Answer 25

use this formula.
\(\large\color{black}{ \displaystyle (x_{_1},~~y_{_1}) }\) is the point
\(\large\color{black}{ \displaystyle m }\) is the slope

Answer 26

you can use it with any of the given to you points.

Answer 27

(x - 4) and (x + 3) are the points i got