Question 1207024
.
what is the slope of a line containing points (2,-1) and (3,5)
~~~~~~~~~~~~~~~~~~~~


<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]}}} = 2,  {{{y[1]}}} = -1,  {{{x[2]}}} = 3,  {{{y[2]}}} = 5,


Substitute these values into the formula and calculate

    m = {{{(5-(-1))/(3-2)}}} = {{{6/1}}} = 6.


<U>Answer</U>.  The slope is 6.
</pre>

Solved.


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


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.