Question

Give the slope of the graph and the unit rate

Answer 1

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:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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