Answer:
The [tex]\mathbf{Slope=\frac{1}{4}}[/tex]
The y-intercept is (0,3)
Option D is correct.
Step-by-step 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: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have x_1=-8, y_1=1, x_2=0, y_2=3
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{3-1}{0-(-8)}\\Slope=\frac{3-1}{0+8}\\Slope=\frac{2}{8}\\Slope=\frac{1}{4}[/tex]
So, we get [tex]\mathbf{Slope=\frac{1}{4}}[/tex]
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 [tex]\mathbf{Slope=\frac{1}{4}}[/tex]
The y-intercept is (0,3)
Option D is correct.
