T he x and y intercepts of the equation:
are : y-intercept is (0,-5) and x-intercept is (4,0)
So, Option D is correct.
Step-by-step explanation:
we need to identify the x and y intercepts of the equation: ![5x-4y=20](https://tex.z-dn.net/?f=5x-4y%3D20)
Finding x-intercept
For finding x-intercept put y=0
We are given the equation:
![5x-4y=20](https://tex.z-dn.net/?f=5x-4y%3D20)
Solving:
![5x-4y=20\\5x-4(0)=20\\5x=20\\x=\frac{20}{5}\\x=4](https://tex.z-dn.net/?f=5x-4y%3D20%5C%5C5x-4%280%29%3D20%5C%5C5x%3D20%5C%5Cx%3D%5Cfrac%7B20%7D%7B5%7D%5C%5Cx%3D4)
So, x-intercept is (4,0)
Finding y-intercept
For finding y-intercept put x=0
We are given the equation:
![5x-4y=20](https://tex.z-dn.net/?f=5x-4y%3D20)
Solving:
![5x-4y=20\\5(0)-4y=20\\-4y=20\\y=\frac{20}{-4}\\y=-5](https://tex.z-dn.net/?f=5x-4y%3D20%5C%5C5%280%29-4y%3D20%5C%5C-4y%3D20%5C%5Cy%3D%5Cfrac%7B20%7D%7B-4%7D%5C%5Cy%3D-5)
So, y-intercept is (0,-5)
the x and y intercepts of the equation:
are :y-intercept is (0,-5) and x-intercept is (4,0)
So, Option D is correct.
Keywords: x and y intercepts
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