Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Answer 2

Answer: The slope is  $\frac{-2}{5}$ and the y-intercept is $\frac{-1}{3}$

Step-by-step 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 :-

$m=\dfrac{\text{change in y}}{\text{change in x}}\\\\\\\Rightarrow\ m=\dfrac{\frac{-2}{15}-\frac{-1}{30}}{\frac{-1}{2}-\frac{-3}{4}}\\\\\\\Rightarrow\ m=\dfrac{\frac{-3}{30}}{\frac{1}{4}}=\dfrac{-2}{5}$

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

$y=\frac{-2}{5}x+c$

Put $x=\frac{-1}{2}$ and $y=\frac{-2}{15}$ in it , we get

$\frac{-2}{15}=\frac{-2}{5}\times \frac{-1}{2}+c\\\\\Rightarrow\ c=\frac{-2}{15}\times\frac{5}{1}=\frac{-1}{3}$

Hence, The slope is  $\frac{-2}{5}$ and the y-intercept is $\frac{-1}{3}$