Answer:
[tex]y=2x+8[/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
(0,8) and (1,10)
substitute in the formula
[tex]m=\frac{10-8}{1-0}[/tex]
[tex]m=\frac{2}{1}[/tex]
[tex]m=2[/tex]
step 2
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=2[/tex]
[tex]b=8[/tex] ----> the y-intercept is the point (0,8)
substitute
[tex]y=2x+8[/tex]
