Question

Part A:What is the slope of the line?What does the slope represent?Part B:What is the y-intercept?What does the y-intercept represent?Part C:Define the variables and write a function that represents this situation?Part D:What does each point represent?

Answer 1

to find the slope we just need two points I will take the points (0,25)and (1,35)

the slope formula is

`m=(y2-y1)/(x2-x1)`

where(x2,y2) is a rigth point from (x1,y1)

(x2,y2)= (1,35) and (x1,y1)=(0,25)

replacing

`\begin{gathered} m=(35-25)/(1-0) \\ \\ m=10 \end{gathered}`

the slope is 10 and represent the inclination of the line and the increase for each unit in x

The y-intercept

is the cut with the y axis and represent the value of y when x is 0 , or the initial value of the line

the y-intercept is 25

The variables and the equation

total monthly cost depends on number of hot yoga practice, so the monthly cost is Y and the number of hot yoga practice is X

the general equation of the line is

`y=mx+b`

where m is the slope and b the y-intercept, s the equation is

`y=10x+25`

what does each point represent?

ordered pairs indicating the number of hot yoga practices in a month and its respective

monthly cost