`-2x + 5y = 20` Find the x intercept and the y intercept of the equation. Then graph the equation.

Textbook Question

Chapter 2, 2.3 - Problem 58 - Glencoe Algebra 2 (1st Edition, McGraw-Hill Education).
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kspcr111 | In Training Educator

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In order to find y and x intercepts, we first need to know does they mean...
 
What is x intercept ?
 
It can be represented as point of a line intercepting x axis, if any point is to intercept x axis it's vertical position(y) has to be 0.
 
What is y intercept ?
 
 if any point is to intercept y axis it's horizontal position(x) needs be 0. 
 
 We can determine x intercept by setting y = 0
 
and y intercept by setting x = 0. 
 
so, for the line `-2x+5y=20`

1) Y intercept (x = 0) is 
 
 `-2(0) +5y =20`
=> `5y= 20`
=>` y=4`
` `


 
2) x intercept (y = 0) is 
 
`-2x+5(0) =20`
=> `-2x= 20`
=>` x = -10`
 
so `x= -10 ,y =4`  are the intercepts and is plotted with a dot in the graph below
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