Given the equation:
[tex]y=-\frac{1}{2}(x+5)+1[/tex]
To be able to graph the line, the first step is to determine the coordinates of two points.
To determine the coordinates of the points, you have to choose two values of x, replace them in the formula and calculate the corresponding value of y.
For example, you can use the values x=1 and x=3
For x=1
[tex]\begin{gathered} y=-\frac{1}{2}(x-5)+1 \\ y=-\frac{1}{2}(1-5)+1 \\ y=(-\frac{1}{2})\cdot(-4)+1 \\ y=2+1 \\ y=3 \end{gathered}[/tex]
The first ordered pair is (1,3)
For x=3
[tex]\begin{gathered} y=-\frac{1}{2}(x-5)+1 \\ y=-\frac{1}{2}(3-5)+1 \\ y=(-\frac{1}{2})(-2)+1 \\ y=1+1 \\ y=2 \end{gathered}[/tex]
The second ordered pair is (3,2)
Once you have determined the coordinates of both points, you have to plot them on the coordinate system:
Link both points with a line to graph it.
