Question 1130468
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<pre>
First find the slope  m = {{{(y[2]-y[1])/(x[2]-x[1])}}} = {{{((-1)-9)/((-1)-4))}}} = {{{(-10)/(-5)}}} = 2.


Now an equation of the line is


    y-9 = 2*(x-4),   or


    y - 9 = 2x - 8,

    y = 2x - 8 + 9,

    y = 2x + 1.      <U>YOUR FINAL ANSWER</U> 
</pre>

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My lessons in this site related to the slope of a straight line are


&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>

&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>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/Solving-problems-related-to-the-slope-of-a-straight-line.lesson>Solving problems related to the slope of a straight line</A>

&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> 


&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/geometry/OVERVIEW-of-lessons-related-to-the-slope-of-a-straight-line.lesson>OVERVIEW of lessons related to the slope of a straight line</A>