Question

A little help please?

http://prntscr.com/96wkkj

Answer 1

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 2

@AlexandervonHumboldt2

Answer 3

y-y_1=m*(x-x_1)

Answer 4

(x_1, y_1) is a point. m is slope

Answer 5

to owingspan slope use slope formula

Answer 6

I did the slope formula already and got 6/7

Answer 7

ok

Answer 8

now we have y-y_1=6/7*(x-x_1)

substitute on of the points and get the eqution

Answer 9

using your data, we can say that the slope \(m\) of the requested line is:
\[m = \frac{{{y_2} - {y_1}}}{{{x_2} - {x_1}}} = \frac{{ - 1 - 5}}{{ - 3 - 4}} = ...?\]
where I supposed this: \((x_1,y_1)=(4,5), \;(x_2,y_2)=(-3,-1)\)

Answer 10

Would it be positive? Going up

Answer 11

next, we can apply these formulas:
\[\begin{gathered}
y - {y_1} = m\left( {x - {x_1}} \right) \hfill \\
\hfill \\
y - {y_2} = m\left( {x - {x_2}} \right) \hfill \\
\end{gathered} \]

Answer 12

so, what are the right options?

Answer 13

6/7 @Michele_Laino

Answer 14

that's right!
now, please replace such value of \(m\), into both equations above, together the coordinates of both points

Answer 15

is it c?

Answer 16

option C, is a right option, what is the other option?

Answer 17

hm...A?

Answer 18

I'm sorry, A is not a right option, since the slope of that line is \(m=7/6\)

Answer 19

Oh yeah right.

Answer 20

B? or it could be d

Answer 21

no, d is not right

Answer 22

hint:
for example, if I substitute (x1,y1)=(4,5), and m=6/7 into my equations above, I can write this:
\[y - 5 = \frac{6}{7}\left( {x - 4} \right)\]

Answer 23

The answers would be b and c right?

Answer 24

yes! That's right!

Answer 25

YAY! thank you very much!

Answer 26

:) :)