Answer:
y-intercept is 3
Step-by-step explanation:
We are given table
x: -8 -4 4 8
y: -3 0 6 9
We can select any two points
[tex]x_1=-8,y_1=-3[/tex]
[tex]x_2=-4,y_2=0[/tex]
Firstly, we will find slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
now, we can plug values
[tex]m=\frac{0+3}{-4+8}[/tex]
[tex]m=\frac{3}{4}\quad[/tex]
now, we can use point slope form of line
[tex]y-y_1=m(x-x_1)[/tex]
we can plug values
[tex]y+3=\frac{3}{4}(x+8)[/tex]
now, we can solve for y
[tex]y=\frac{3}{4}x+3[/tex]
For finding y-intercept , we can plug x=0
[tex]y=\frac{3}{4}\times 0+3[/tex]
[tex]y=0+3[/tex]
[tex]y=3[/tex]
So,
y-intercept is 3
