Question

find the value for K so that the line through the given points are parallel
line 1: (-5,-2)& ( 0,0)
line 2: (1,6) & (k,7)

Answer 1

what's the slope of the 1st one anyway? any ideas?

bear in mind tha parallel lines have the SAME SLOPE

Answer 2

the slope for the first line is 2/5

Answer 3

so.... yeap is 2/5 so

now we know that so we use that slope for the 2nd line then thus \(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 1}}\quad ,&{\color{blue}{ 6}})\quad &({\color{red}{ k}}\quad ,&{\color{blue}{ 7}})
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ 7}}-{\color{blue}{ 6}}}{{\color{red}{ k}}-{\color{red}{ 1}}}
=\cfrac{2}{5}\) solve for "k"

Answer 4

wooops darn wrong window... lemme remove that =(

Answer 5

ok

Answer 6

i got it thanks