STEP-BY-STEP EXPLANATION
Given information
The following equation was given in the question provided
4x + 5y = 20
To graph the above equation, we need to find the x and y-intercepts of the equation.
To find the x-intercept of the equation, we need to make y = 0
Therefore, we have
[tex]\begin{gathered} 4x\text{ + 5(0) = 20} \\ 4x\text{ + 0 = 20} \\ 4x\text{ = 20} \\ \text{Divide both sides by 4} \\ \frac{4x}{4}\text{ = }\frac{20}{4} \\ x\text{ = 5} \end{gathered}[/tex]Hence, the x-intercept is (5, 0)
The next step is to find the y-intercept
To find the y-intercept, we need to make x = 0
Then, we have
[tex]\begin{gathered} 4(0)\text{ + 5y = 20} \\ 0\text{ + 5y = 20} \\ 5y\text{ = 20} \\ \text{Divide both sides by 5} \\ \frac{5y}{5}\text{ = }\frac{20}{5} \\ y\text{ = 4} \end{gathered}[/tex]Therefore, the y-intercept is (0, 4)
Since we have gotten the intercepts to be (5, 0) and (0, 4), then, the next process is to graph the intercepts
