Mathematics: Given A(-2,8) and B(4,14), what is the y-intercept of the line AB? A:-2 B:1 C:10 D:14

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

garay2015

16.03.2022

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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NoahJerowski67

02.05.2022

The answer is ∞

Step-by-step explanation:

This is because the limit contains infinite values.

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