Question

Write an equation in​ point-slope form of the line that passes through the given​ points, then write the equation in​ slope-intercept form. ​(−9​,7​), ​(9,1) What is the​ point-slope form of the equation of the​ line?

Answer 1

First find the slope...

\(\huge\bf{\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \rightarrow \frac{11-7}{9+9}=slope}\)

Answer 2

Well I already did that eith the rise and run but idk how to make an equation

Answer 3

@563blackghost

Answer 4

6/18 = 1/3
Can you look over the question again

Answer 5

We are already given the first points which is `(-9,7)` we would input it here....

\(\huge\bf{y-y_{1}=m(x-x_{1})}\)

We input the point in as \(\large\bf{(x_{1},y_{1})}\).

\(\huge\bf{y+9=m(x-7)}\)

If we simplify the slope we get \(\large\bf{\frac{2}{9}}\). We input this as m.

\(\huge\bf{y+9=\frac{2}{9}(x-7)}\)

This is how it would look.

Answer 6

oh it says it's wrong though

Answer 7

Wait so it was 1 not 11?

Answer 8

yes

Answer 9

Ok so thats why its wrong. So we have to find the slope again.

\(\huge\bf{\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \rightarrow \frac{1-7}{9+9}=-\frac{1}{3}}\)

With this we would input to find the y-intercept by inputting point.

\(\huge\bf{7=-\frac{1}{3}(-9)+b}\)

Simplify.

\(\huge\bf{7=3+b}\)

\(\huge\bf{4=b}\)

\(\huge\bf\color{red}{y=-\frac{1}{3}x+b}\)

Answer 10

Sorry forgot to input...

\(\huge\bf\color{red}{y=-\frac{1}{3}x+4}\)

Answer 11

what about slope intercept on the equation on theline??

Answer 12

Sorry that was for the slope-intercept.

The point slope is this...

\(\huge\bf\color{red}{y-7=-\frac{1}{3}(x+9)}\)

So so sorry.

Answer 13

The point is `(7,-9)` we input into the equation as `(x1,y2)`

Answer 14

oh lol that's why I got it arong again lol

Answer 15

Im so sorry

Answer 16

It'll be fine but what was the answer for slope-inter?

Answer 17

\(\huge\bf\color{red}{y=-\frac{1}{3}x+4}\)

Answer 18

I hope they are correct :)

I must take my leave, good luck with your work ^.^

Answer 19

thanks!