Question

Find the intercepts and then use them to graph the equation 4x+5y=20

Answer 1

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

$\begin{gathered} 4x\text{ + 5(0) = 20} \\ 4x\text{ + 0 = 20} \\ 4x\text{ = 20} \\ \text{Divide both sides by 4} \\ \frac{4x}{4}\text{ = }\frac{20}{4} \\ x\text{ = 5} \end{gathered}$

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

$\begin{gathered} 4(0)\text{ + 5y = 20} \\ 0\text{ + 5y = 20} \\ 5y\text{ = 20} \\ \text{Divide both sides by 5} \\ \frac{5y}{5}\text{ = }\frac{20}{5} \\ y\text{ = 4} \end{gathered}$

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