Han's Errors 2
Han wanted to find the intercepts of the graph of the equation 10x+4y=20.
He decided to put the equation in slope-intercept form first. Here is his work:
10x + 4y = 20
4y = 20 – 10x
y = 5 - 10x
3
He concluded that the x-intercept is (12,0) and the y-intercept is (0,5).
4
what is his error?

The error in the calculation made is that Han did not divide 10x by 4 to Obtain the correct slope - intercept relation :

From ; 4y = 20 - 10x

Divide both sides by 4 to isolate y :

y = 5 - 2.5x

Hence, the slope intercept equation is y = 5 - 2.5x

X - intercept :

Value of x ; when y = 0

0 = 5 - 2.5x

2.5x = 5

x = 5 / 2.5

x = 2

Hence, intercept = (2, 0)

Y - intercept :

Value of y when x = 0

y = 5 - 2.5(0)

y = 5 - 0

y = 5

y - intercept = (0, 5)

Therefore, the error made is failing to divide 10 by 4 in the slope intercept equation.

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Han forgot to divide -10x by 4

Step-by-step explanation:

Han made a mistake when isolating y in the slope intercept equation.

When dividing both sides by 4, he only divided 20 by 4, and forgot to divide -10x by 4.

The equation in slope intercept form should have been y = -2.5x + 5

Using this, the x intercept should have been (2, 0) instead. He got the y intercept right, which is (0, 5)

So, the mistake he made was forgetting to divide -10x by 4