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Andreas93 [3]
4 years ago
5

A line passes through (-7,-5) and (-5,4). Write an equation for the line in point-slope form. Rewrite the equation in standard f

orm using integers
Mathematics
1 answer:
pashok25 [27]4 years ago
6 0
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -7 &,& -5~) 
%  (c,d)
&&(~ -5 &,& 4~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{4-(-5)}{-5-(-7)}\implies \cfrac{4+5}{-5+7}\implies \cfrac{9}{2}

\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{9}{2}[x-(-7)]
\\\\\\
y+5=\cfrac{9}{2}(x+7)\impliedby \textit{now let's multiply both sides by }\stackrel{LCD}{2}
\\\\\\
2(y+5)=2\left[  \cfrac{9}{2}(x+7)\right]\implies 2y+10=9(x+7)
\\\\\\
2y+10=9x+63\implies \stackrel{standard~form}{-9x+2y=53}
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3 years ago
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3 0
4 years ago
X-5For the function g(x) =solve the following inequality.7X+7g(x) > 0
iren2701 [21]
g(x)=\frac{x-5}{x+7}

We need to find the points x where

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or

\begin{gathered} x-5

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