<PRE><B>Question 1161549</B>
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&lt;pre&gt;

The starting basic equation is THIS

    {{{(p-4)/(5-1)}}} = {{{1/2}}}        &lt;&lt;&lt;---=== it is simply the DEFINITION of the slope, or the gradient . . . 


Simplify it and solve for &quot;p&quot;

    {{{(p-4)/4}}} = {{{1/2}}}

    p - 4 = 2
  
    p = 2 + 4 = 6.    &lt;U&gt;ANSWER&lt;/U&gt;
&lt;/pre&gt;

Solved.


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For this kind of problems, see the lessons

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/geometry/Find-the-slope-of--a-straight-line-passing-through-two-given-points.lesson&gt;Find the slope of a straight line in a coordinate plane passing through two given points&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;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&gt;Equation for a straight line having a given slope and passing through a given point&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/geometry/Solving-problems-related-to-the-slope-of-a-straight-line.lesson&gt;Solving problems related to the slope of a straight line&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/geometry/Equation-for--a-straight-line-passing-through-two-given-points.lesson&gt;Equation for a straight line in a coordinate plane passing through two given points&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;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&gt;Equation for a straight line parallel to a given line and passing through a given point&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;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&gt;Equation for a straight line perpendicular to a given line and passing through a given point&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/geometry/Advanced-problems-on-finding-equations-for-straight-lines-.lesson&gt;Advanced problems on finding equations for straight lines&lt;/A&gt; 


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/geometry/OVERVIEW-of-lessons-related-to-the-slope-of-a-straight-line.lesson&gt;OVERVIEW of lessons related to the slope of a straight line&lt;/A&gt; 


Consider these lessons as your textbook, &amp;nbsp;handbook, &amp;nbsp;tutorials and &amp;nbsp;(free of charge) &amp;nbsp;home teacher.



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