Question

What are the slope and the y-intercept of a linear function that is represented by the table

Answer 1

i think its the first one but i'm not sure

Explanation:

Answer 2

Answer: The slope is
`(-2)/(5)` and the y-intercept is
`(-1)/(3)`

Explanation:

We know that the intercept form of a linear function is given by :-

`y=mx+c`, where m is the slope of the line and c is the y intercept point.

The slope of a function is given by :-

`m=\frac{\text{change in y}}{\text{change in x}}\\\\\\\Rightarrow\ m=((-2)/(15)-(-1)/(30))/((-1)/(2)-(-3)/(4))\\\\\\\Rightarrow\ m=((-3)/(30))/((1)/(4))=(-2)/(5)`

Put the value of m in the general intercept equation , we get

`y=(-2)/(5)x+c`

Put
`x=(-1)/(2)` and
`y=(-2)/(15)` in it , we get

`(-2)/(15)=(-2)/(5)* (-1)/(2)+c\\\\\Rightarrow\ c=(-2)/(15)*(5)/(1)=(-1)/(3)`

Hence, The slope is
`(-2)/(5)` and the y-intercept is
`(-1)/(3)`