The general equation of the line is,
[tex]y=mx+b[/tex]Given:
[tex]\begin{gathered} m=\text{slope = -}\frac{\text{1}}{5} \\ b=y-\text{intercept = 8} \end{gathered}[/tex]Substitute the values of m and b into the equation, in order to obtain the equation.
[tex]y=-\frac{1}{5}x+8[/tex]Let us solve for the x-intercept and y-intercept in order to plot the graph of the line.
X-intercept
The x-intercept is the value of the x coordinate of a point where the value of y-coordinate is equal to zero.
[tex]\begin{gathered} y=0 \\ 0=-\frac{1}{5}x+8 \\ \frac{1}{5}x=8 \\ \text{Cross}-m\text{ultiply} \\ x=8\times5=40 \\ \therefore The\text{ x-intercept is (40,0)} \end{gathered}[/tex]Y-intercept
The point where a line or curve crosses the y-axis of a graph. In other words: find the y-value when x equals 0.
[tex]\begin{gathered} x=0 \\ y=-\frac{1}{5}(0)+8 \\ y=0+8=8 \\ \therefore The\text{ y-intercept is (0,8)} \end{gathered}[/tex]Hence, the points to plot the graph are (40 , 0) and (0 , 8).
Let us now plot the graph
