Question

Write an equation for the line passing through the given points. Give the final answer A)slope-intercept form and B) Standard form
(-3,-1) and (4,-6)

Answer 1

I had to start over. I'm so lost!

Answer 2

Do you know that forms?

Answer 3

Go To YouTube and look at Khan Academy slope intercept form of a line

Answer 4

I did -6+3/2+5=3/7

Answer 5

https://www.youtube.com/watch?v=uk7gS3cZVp4

Answer 6

Slope-intercept is y=mx+b .....

Answer 7

You have to find the slope... Use the equation y2-y1/x2-x1 .... Plug those in and get a slope

Answer 8

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ -3}}\quad ,&{\color{blue}{ -1}})\quad &({\color{red}{ 4}}\quad ,&{\color{blue}{ -6}})
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and solve for "y"}\\
\qquad \uparrow\\
\textit{point-slope form} \)

Answer 9

https://www.youtube.com/watch?v=-6Fu2T_RSGM @vshiroky

Answer 10

Then plug it into point-slope... y-y1=m(x-x1) .... Then solve

Answer 11

Right, but I keep getting a decimal

Answer 12

It's not coming out right.

Answer 13

leave the slope as a fraction, and use it like so

Answer 14

Right, but when I type it in it's not right.

Answer 15

I got m=5/7

Answer 16

hmm what have you gotten thus far?

Answer 17

y+1=5/7(x+3)

Answer 18

When I do 5/7(3) it's coming up as a decimal

Answer 19

well, close \(\bf slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ -6}}-{\color{blue}{ -1}}}{{\color{red}{ 4}}-{\color{red}{ -3}}}\implies \cfrac{-5}{7}\)

Answer 20

recall the "6" is negative

Answer 21

Ok, but I'm still getting a decimal when I do -5/7(3)

Answer 22

well, when you distribute the slope, leave the product as fraction

Answer 23

where did the (3) come from?

Answer 24

you'd get decimal if you divide them, yes

Answer 25

Because I did y+1=-5/7(x+3)

Answer 26

So now multiply out y+1=(-5/7)(x+3)

Answer 27

What I don't get is when i do -5/7(3) I get a decimal

Answer 28

I keep getting -2.14

Answer 29

Just leave it as a fraction

Answer 30

I don't know how to do that when I am doing it from my phone. It doesn't do fractions

Answer 31

so what y=-5/7x-15/7?