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olasank [31]
2 years ago
13

What is the slope in f(x)=6x+7

Mathematics
2 answers:
Alisiya [41]2 years ago
7 0
The slope of the equation is 6
Kryger [21]2 years ago
4 0

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{Slope = 6}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{f(x) = 6x + 7}

Find:  \textsf{The slope of the equation}

Solution: Looking at the equation it is in standard form which is y = mx + b where m is the slope and b is the y-intercept.  Looking at our expression we can see that m is equal to 6 which is our slope.

Therefore, the slope of our expression is equal to 6.

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\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 5}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{7}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=\cfrac{7}{2}(x-5)\implies y-7=\cfrac{7}{2}x-\cfrac{35}{2}
\\\\\\
y=\cfrac{7}{2}x-\cfrac{35}{2}+7\implies \stackrel{standard~form}{-\cfrac{7}{2}x+y=-\cfrac{21}{2}}
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