Answer:
The
![\mathbf{Slope=(1)/(4)}](https://img.qammunity.org/2022/formulas/mathematics/high-school/9jnnv4fpg7zaxce47qcpb3sycdvw9sh82c.png)
The y-intercept is (0,3)
Option D is correct.
Explanation:
A linear function given has following points:
x y
-8 1
0 3
We need to find slope and y-intercept
To find slope, we can use formula:
![Slope=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/74v13u5xocmslbx1zls2px1jkbzuf7apjd.png)
We have x_1=-8, y_1=1, x_2=0, y_2=3
Putting values and finding slope
![Slope=(y_2-y_1)/(x_2-x_1)\\Slope=(3-1)/(0-(-8))\\Slope=(3-1)/(0+8)\\Slope=(2)/(8)\\Slope=(1)/(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/1mp108kxpgtuj1d6kbr4rx8hmyyjsbxylo.png)
So, we get
![\mathbf{Slope=(1)/(4)}](https://img.qammunity.org/2022/formulas/mathematics/high-school/9jnnv4fpg7zaxce47qcpb3sycdvw9sh82c.png)
We need to find y-intercept.
y-intercept can be found by putting x =0.
Looking at the table, when x =0, y=3
So, y-intercept is (0,3)
The required answer is:
The
![\mathbf{Slope=(1)/(4)}](https://img.qammunity.org/2022/formulas/mathematics/high-school/9jnnv4fpg7zaxce47qcpb3sycdvw9sh82c.png)
The y-intercept is (0,3)
Option D is correct.