Question

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

Answer 1

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