Answer:
Slope = 3/4
Equation in slope intercept form: [tex]y=\frac{3}{4}x+9[/tex]
Step-by-step explanation:
Pick any two points from the table say (4,12) and (8,15).
Slope is given by formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{15-12}{8-4}=\frac{3}{4}[/tex]
Now plug the value of slope m=3/4 and any point say (4,12) into point slope formula:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-12=\frac{3}{4}\left(x-4\right)[/tex]
[tex]y-12=\frac{3}{4}x-3[/tex]
[tex]y=\frac{3}{4}x-3+12[/tex]
[tex]y=\frac{3}{4}x+9[/tex]
Hence final answer in slope intercept form is [tex]y=\frac{3}{4}x+9[/tex]
