10x + 4y = 20 what are the x and y intercepts and why

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21 votes

10x + 4y = 20
what are the x and y intercepts and why

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20 votes

Answer:

To find the x-intercept, set
y = 0

and solve for
.

$10x + 4y = 20 \\ 10x + 0 = 20 \\ 10x = 20 \\ x = 2 \\(2 ,0)$

To find the y-intercept, set
x = 0

and solve for
.

$10x + 4y = 20 \\ 0 + 4y = 20 \\ 4y = 20 \\ y = 5 \\(0,5)$

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