Plot the graph of y = 4 - 3/5x
The equation of a line is typically expressed as
[tex]\begin{gathered} y=mx+b \\ y=-\frac{3}{5}x+4 \\ \text{The graph is shown below;} \end{gathered}[/tex]Please note that, to plot the graph of the equation;
Find the y-intercept, that is when x = 0 and
Find the x-intercept, that is when y = 0
[tex]\begin{gathered} y=-\frac{3}{5}x+4 \\ \text{When x = 0} \\ y=-\frac{3}{5}(0)+4 \\ y=0+4 \\ y=4 \\ \text{When y = 0} \\ 0=-\frac{3}{5}x+4 \\ \frac{3}{5}x=4 \\ x=\frac{4\times5}{3} \\ x=\frac{20}{3} \\ x=6\frac{2}{3} \end{gathered}[/tex]Therefore, when x = 0, y = 4
When y = 0, x = 6 2/3
Next step is to input these two points on the coordinate grid and join them together very carefully with a straightedge (or a ruler) and you have your graph.
