Find slope and after finding slope put it into an equation y=mx+b

To find the slope of a line (m) we can follow this equation:
[tex]m=\frac{y-y0}{x-x0}[/tex]dIn this case, we can use y=2116, x=48 and y0=100, x0=0, (from the table provided by the statement of the question)
then:
[tex]m=\frac{2116-100}{48-0}=42[/tex]and we can find the intercept of the line, like this:
y(0)= 100= m*(0)+b
then:
b=100
Now we can express the equation of the line y=mx+b, like this:
[tex]y=42\cdot x+100[/tex]