Arlo is trying to find the x-intercept of 9x + 12y = 144. His work is shown below, 9x +12y = 144 9(0) + 12y =144 12y = 144 y = 1
1 answer:
Arlo's solution is incorrect
He has used the substitution x = 0 instead of y = 0 to find the x- intercept
To find the x-intercept let y = 0, in the equation and solve for x
y = 0 → 9x + 0 = 144
9x = 144 ( divide both sides by 9 )
x = = 16
the x- intercept is 16 ⇒ ( 16, 0 )
note to find the y-intercept let x = 0 in the equation and solve for y
x = 0 → 0 + 12y = 144
12y = 144 ⇒ y = 12
This is what Arlo calculated
If 144 was - 144 then x- intercept = - 16 and y-intercept = - 12
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where major axis length = 2a
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