Question

Write an equation for the line that passes through the points (5, -1) and (-7, -8).

A. y = 7/12 x – 47/12

B. y = 7/12 x + 67/12

C. y = 12/7 x – 67/7

D. y = 12/7 x – 4

Answer 1

Find the slope first:
\[\LARGE m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 5}}\quad ,&{\color{blue}{ -1}})\quad &({\color{red}{ -7}}\quad ,&{\color{blue}{ -8}})
\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 3

i got the -7/-12

Answer 4

Use that and plug it into the point-slope formula:
\[\LARGE y-y_{1}=m(x-x_{1})\]
jdoe did the points :P

Answer 5

one approach
find the slope of the line change in y / change in x
using one of the given points find the intercept b
using y = mx + b you have m and b write the equation

Answer 6

okay sorry i was taking forever i am being a fat *** and eating chips

Answer 7

\[-7--1=m \left( -12-5 \right)\]

Answer 8

did you get a

Answer 9

idk

Answer 10

what is the slope?

Answer 11

\[\frac{ -7 }{ -12 }\]