Answer:
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
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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