Given the equation :
5x + 4y = 20
the graph of the equation is a line, to draw the line we need two points
We will graph the equation using the intercepts of the line
X-intercept is the value of x when y = 0
Y-intercept is the value of y when x = 0
so, the intercepts are:
[tex]\begin{gathered} x=0\rightarrow4y=20\rightarrow y=\frac{20}{4}=5 \\ \\ y=0\rightarrow5x=20\rightarrow x=\frac{20}{5}=4 \end{gathered}[/tex]so, the line is passing through the points ( 0, 5 ) and ( 4, 0 )
The graph of the line is as shown in the following picture:
