Question

Write an equation of the line passing through the given points.
(4,-18) and (-1,7)
Can someone please do this one for me? I tried I'm lost and have to leave for work very soon.

Answer 1

hmmm haven't you done about 20 like this already?

Answer 2

Yes but I get confused when it ends up with a fraction

Answer 3

I got y+18=25/3(x-4)

Answer 4

That is as far as I can get

Answer 5

so slope would be

7 + 18 25
------ = ----- = -5
-1 - 4 -5

Now you use that and 1 of your points to solve your equation for 'b'

y = mx + b

lets use (-1,7) and m = -5

7 = -5(-1) + b
7 = 5 + b
b = 2

So your equation is

y = -5x + 2

Answer 6

oh gosh now that I see it typed up I see I made a typo in my equation when I was trying to do it

Answer 7

mmhmm just a little mistake can do it :)

Answer 8

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 4}}\quad ,&{\color{blue}{ -18}})\quad &({\color{red}{ -1}}\quad ,&{\color{blue}{ 7}})
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ 7}}-{\color{blue}{ -18}}}{{\color{red}{ -1}}-{\color{red}{ 4}}}\implies \cfrac{7+18}{-5}\implies \cfrac{25}{-5}\implies -5
\\ \quad \\

\)