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4/5x + 1/2y= 40 what are the x and y intercepts

User DeFrenZ
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For this case we have the following equation:


\frac {4} {5} x + \frac {1} {2} y = 40

We must find the intersections with the x and y axes respectively.

Intersection with the x axis: Making
y = 0 we have:


\frac {4} {5} x + \frac {1} {2} (0) = 40\\\frac {4} {5} x = 40

We multiply by 5 on both sides of the equation:


4x = 5 * 40\\4x = 200

Dividing by 4 to both sides of the equation:


x = \frac {200} {4}\\x = 50

Thus, the intersection with the x-axis is given by:
(x, y) :( 50,0)

Intersection with the y axis: Making
x = 0we have:


\frac {4} {5} (0) + \frac {1} {2} y = 40\\\frac {1} {2} y = 40

We multiply by 2 on both sides of the equation:


y = 2 * 40\\y = 80

Thus, the intersection with the y-axis is given by:
(x, y) :( 0,80)

Answer:

Intersection with the x axis: (50,0)

Intersection with the y axis: (0,80)

User Bjeavons
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