someone please explain!

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\[slope=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]
the slope is -1/2

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\(\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 1}})\quad % (c,d) &({\color{red}{ 7}}\quad ,&{\color{blue}{ -1}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}\)
so the slope is -1/2?
well one sec
okay
\(\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 1}})\quad % (c,d) &({\color{red}{ 7}}\quad ,&{\color{blue}{ -1}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ -1}}-{\color{blue}{ 1}}}{{\color{red}{ 7}}-{\color{red}{ 3}}}\implies \cfrac{-\cancel{2}}{\cancel{4}}\implies -\cfrac{1}{2}\)
okay what do i do next
now to fine the equation grab that slope and uset it in the point-slope form \(\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({\color{red}{ 3}}\quad ,&{\color{blue}{ 1}})\quad % (c,d) &({\color{red}{ 7}}\quad ,&{\color{blue}{ -1}}) \end{array} \\\quad \\ % slope = m slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ -1}}-{\color{blue}{ 1}}}{{\color{red}{ 7}}-{\color{red}{ 3}}}\implies \cfrac{-\cancel{2}}{\cancel{4}}\implies -\cfrac{1}{2} \\ \quad \\ % point-slope intercept y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values}\\ \qquad \uparrow\\ \textit{point-slope form}\)
so y-y1=-1/2(x-x1)
or \(\bf y-{\color{blue}{ 1}}={\color{green}{ -\cfrac{1}{2}}}(x-{\color{red}{ 3}})\qquad \textit{plug in the values}\\ \qquad \uparrow\\ \textit{point-slope form}\)
y=-.5x+2.5
what up
yes it is
so it's the answer?
yes
MEDELZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
ill help lol
LOL SOLVED
you solved it already? haha then you might wanna close the question
yeah sorry I'll do that right now :)
medAL
PLLLLLLLLLLLLLLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
SORRY JUST GOT IT

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