Question 1182354
.
Find the slope of the line through P and Q.
P(−9, 1), Q(7, −4)
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<pre>
The formula for the slope of a straight line passing through two given points  &nbsp;&nbsp;({{{x[1]}}},{{{y[1]}}})  &nbsp;&nbsp;and  &nbsp;&nbsp;({{{x[2]}}},{{{y[2]}}})  &nbsp;&nbsp;is

    m = {{{(y[2]-y[1])/(x[2]-x[1])}}}.



In your case, {{{x[1]}}} = -9,  {{{y[1]}}} = 1,  {{{x[2]}}} = 7,  {{{y[2]}}} = -4,



Substitute these values into the formula and calculate


    m = {{{(-4 - 1 )/(7-(-9))}}} = {{{-5/16}}}.


<U>Answer</U>.  The slope is {{{-5/16}}}.
</pre>

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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Find-the-slope-of--a-straight-line-passing-through-two-given-points.lesson>Find the slope of a straight line in a coordinate plane passing through two given points</A>

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