Question 1138986
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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]}}} = -3,  {{{y[1]}}} = 4,  {{{x[2]}}} = 6,  {{{y[2]}}} = 1.



Substitute these values into the formula and calculate


m = {{{(1-4)/(6-(-3))}}} = {{{(-3)/9}}} = {{{-1/3}}}.


<U>Answer</U>.  The slope is {{{-1/3}}}.
</pre>

See the lesson

&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>

in this site.