A line goes through the points (4, 5) and (2,-6). Write the equation of the line in slope-intercept

Mathematics

1 answer:

kompoz [17]3 years ago

8 0

Answer: 11/2x - 17

Step-by-step explanation:

First find the slope.

I learned this doing the y2-y1 method.

Do -6 - 5 which equals -11

And 2 - 4 = -2

This makes -11/-2 = 11/2

Then if you you were to graph,, find two points which should give you -17.

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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}
\\\\\\
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