Respuesta :

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]