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Explain why this common mistake is wrong. Many people might say that (2, 4) is an intercept of the equation 5x + 2y = 18.

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Answer:

Explanation:

(2,4) is point lying on the line represented by 5x + 2y = 18.

They are not intercepts.

x-intercept is point where the line crosses the x-axis and so, y-co ordinate at x-intercept is 0.

y-intercept is point where the line crosses they-axis and so,x-co ordinate at y-intercept is 0.

5x + 2y = 18

To find x-intercept, put y = 0 in the equation

5x = 18

x = 18/5

x = 3.6

To find y-intercept, put x = 0 in the equation

2y = 18

y = 18/2

y = 9

x-intercept : (3.6 , 0)

y-intercept :(0, 9)

User Ersan
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