Question 1144275
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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]}}} = -1,  {{{y[1]}}} = 5,  {{{x[2]}}} = -4,  {{{y[2]}}} = 10.



Substitute these values into the formula and calculate


m = {{{(10-5)/(-4-(-1))}}} = {{{5/(-3)}}} = {{{-5/3}}}.


<U>Answer</U>.  The slope is  {{{-5/3}}}.
</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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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Equation-for--a-straight-line-having-a-given-slope-and-passing-through-a-given-point.lesson>Equation for a straight line having a given slope and passing through a given point</A>

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

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Equation-for--a-straight-line-parallel-to-a-given-line-and-passing-through-a-given-point.lesson>Equation for a straight line parallel to a given line and passing through a given point</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Equation-for--a-straight-line-perpendicular-to-a-given-line-and-passing-through-a-given-point.lesson>Equation for a straight line perpendicular to a given line and passing through a given point</A> 


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