Respuesta :
Answer:
[tex]y=3.25x-1[/tex]
Step-by-step explanation:
step 1
Find the slope
we have the points
(2,5.5) and (5,15.25)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{15.25-5.5}{5-2}[/tex]
[tex]m=\frac{9.75}{3}=3.25[/tex]
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
[tex]m=3.25\\point\ (2,5.5)[/tex]
substitute
[tex]5.5=3.25(2)+b[/tex]
solve for b
[tex]b=-6.5+5.5=-1[/tex]
therefore
[tex]y=3.25x-1[/tex]