Question

What is the y-intercept of the function, represented by the table of values below? HELP

Answer 1

The correct answer Is A:10

Answer 2

Answer with explanation:

Slope between two points is given by the formula

`=(y_(2)-y_(1))/(x_(2)-x_(1))`

Finding the slope between two points using the table

`1=(14-8)/(-2-1)\\\\=(6)/(-3)\\\\= -2\\\\2=(6-8)/(2-1)\\\\=(-2)/(1)\\\\=-2\\\\3=(6-2)/(2-4)\\\\=(4)/(-2)\\\\=-2\\\\ \text{Equation of Line}\\\\(y-y_(1))/(x-x_(1))=m\\\\ \Rightarrow (y-2)/(x-4)= -2\\\\y-2=-2 x+8\\\\y= -2 x+8+2\\\\y =-2 x+10`

Comparing with slope intercept form of line which is

y = m x +c, where m is slope and c is Y intercept.

≡10 →Y intercept

Option A