What is the x- intercept and y- intercept of y=−4(x+2)?
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Solution:
Given equation:
y = -4(x+2)
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Convert the equation into intercepts form:
i.e x/a + y/b = 1 ,
where
x-intercept = a
y-intercept = b
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=> 4(x+2)+y = 0
=> 4x+8+y = 0
=> 4x+y = -8
Divide each term by (-4) , we get
=> 4x/(-4) + y/(-4) = -8/(-4)
=> x/(-1) + y/(-4)=1 Compare
this x/a+y/b = , we get
a = -1 , b = -4
Therefore,
X-intercept = a = -1 ,
y- intercept = b = -4
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