Given a pair of points on a straight line
To Determine: The slope of the line
Solution:
The slope formula given two points is
[tex]s=\frac{y_2-y_1}{x_2-x_1}[/tex]The given points are
[tex]\begin{gathered} (-3,1),\mleft(6,1\mright) \\ x_1=-3,y_1=1 \\ x_2=6,y_2=1 \end{gathered}[/tex]Substitute the given points into the formula to find the slope
[tex]\begin{gathered} s=\frac{1-1}{6--3} \\ s=\frac{0}{6+3} \\ s=\frac{0}{9} \\ s=0 \end{gathered}[/tex]The slope of the line is 0
Please note that a zero slope is just the slope of a horizontal line. The y-coordinate never changes no matter what the x-coordinate is.
Hence, the slope of the line is 0
