Answer:
[tex]y=0.65x+3.5[/tex]
Step-by-step explanation:
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
take two points from the data
(0,3.5) and (100,68.5)
substitute
[tex]m=\frac{68.5-3.5}{100-0}[/tex]
[tex]m=\frac{65}{100}=0.65[/tex]
step 2
Find the equation in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=0.65[/tex]
[tex]b=3.5[/tex] ---> the y-intercept is given
substitute
[tex]y=0.65x+3.5[/tex]
