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

User EthiopionZA
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1 Answer

25 votes
25 votes

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} \\ (4x)/(4)\text{ = }(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} \\ (5y)/(5)\text{ = }(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

Find the intercepts and then use them to graph the equation 4x+5y=20-example-1
User Danmux
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