Answer:
[tex]y=0.95x+2.5[/tex]
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
take the points
(0,2.5) and (100,97.5)
substitute in the formula
[tex]m=\frac{97.5-2.5}{100-0}[/tex]
[tex]m=\frac{95}{100}[/tex]
[tex]m=0.95[/tex]
Find the y-intercept b
we have
[tex]m=0.95[/tex]
[tex]point\ (0,2.5)[/tex]
substitute i the linear equation [tex]y=mx+b[/tex]
[tex]2.5=0.95(0)+b[/tex]
solve for b
[tex]b=2.5[/tex]
Note It was not necessary to calculate the value of b because the value is given in the table
Remember that the y-intercept is the value of y when the value of x is equal to zero (the y-intercept is the point (0,2.5))
The linear equation is
[tex]y=0.95x+2.5[/tex]
