Question

Graph y equals 4 - 3/5X

Answer 1

Plot the graph of y = 4 - 3/5x

The equation of a line is typically expressed as

`\begin{gathered} y=mx+b \\ y=-(3)/(5)x+4 \\ \text{The graph is shown below;} \end{gathered}`

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

`\begin{gathered} y=-(3)/(5)x+4 \\ \text{When x = 0} \\ y=-(3)/(5)(0)+4 \\ y=0+4 \\ y=4 \\ \text{When y = 0} \\ 0=-(3)/(5)x+4 \\ (3)/(5)x=4 \\ x=(4*5)/(3) \\ x=(20)/(3) \\ x=6(2)/(3) \end{gathered}`

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.