Question

XL0 Assignment is pastX 2.9.PS-9Question HelpThe line models the cost of renting a kayak. Write an equation in slope-intercept form for the line,where x is the number of hours the kayak is rented and y is the total cost of renting the kayak.Click the icon to view the figure.The equation for the line in slope-intercept form is(Use integers or decimals for any numbers in the equation.)

Answer 1

Given

To find the equation for the line in slope-intercept form.

Step-by-step explanation:

It is given that,

The given line passes through (1,25), (2,40).

That implies,

The slope of the line is,

`\begin{gathered} m=(40-25)/(2-1) \\ m=(15)/(1) \\ m=15 \end{gathered}`

Therefore, the equation of the line is,

`y=15x+c`

Since it passes through (1,25).

Then,

`\begin{gathered} 25=15+c \\ c=25-15 \\ c=10 \end{gathered}`

Hence, the equation of the line is y=15x+10.