Answer:
y=5/4 x
The slope is 5/4
Step-by-step explanation:
To solve this problem we need to find the equation of the line, y=mx+b
We've been given a table with several points, so we can use two of them to perform our calculus.
To obtain the slope we need to use the equation of slopes:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where (x1,y1) =(4,5) and (x2,y2)=(8,10)
m= (10-5)/(8-4)=5/4
To obtain b we can use the point (x2,y2)=(8,10) in the equation.
10=5/4 *8 +b
b=0
Hence our line has the following equation:
y=5/4 x
