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OverLord2011 [107]
3 years ago
8

Given A(-2,8) and B(4,14), what is the y-intercept of the line AB?

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Answer: C:10

Step-by-step explanation:

Equation of a line passes through (a,b) and (c,d) :

(y-b)=\dfrac{d-b}{c-a}(x-a)

Equation of line passes through A(-2,8) and B(4,14) will be :

y-8=\dfrac{14-8}{4-(-2)}(x-(-2))\\\\\Rightarrow\ y-8= \dfrac{6}{6}(x+2)

\Rightarrow\ y-8=x+2\\\\\Rightarrow\ y= x+2+8\\\\\Rightarrow\ y=x+10

For y-intercept , put x= 0 , we get y= 10

So, the y-intercept = 10

Thus , correct option = C:10

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<h3>What is equivalent expression?</h3>

Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The expression given in the problem is,

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Learn more about the equivalent expression here;

brainly.com/question/2972832

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