A city charges a flat fee plus a constant rate per mile for a bike rental. The total cost, in dollars, can be modeled by a linear function of the number of miles ridden. One customer paid $18forarideof$6$miles,andanotherpaid$30 for a ride of $14$ miles. On the graph of this linear function, what is the $y$-intercept, and what does it represent in this context?

A line passes through the points $(2,11)$ and $(8,-1)$. Which equation represents the same line written in a form that makes its $x$-intercept most apparent?

A city plans to add a new shuttle route that charges a fixed boarding fee plus a constant amount per mile. On a graph, the total cost $y$ (in dollars) is plotted against the distance traveled $x$ (in miles). The graph of the route passes through the points $(4,11)$ and $(10,20)$. A rider has a coupon that reduces only the fixed boarding fee by $2$ dollars, without changing the cost per mile. Which point lies on the graph of the discounted total cost?

A city parking garage charges a fee that is a linear function of the number of hours parked. On one day, Maya paid \18$for$5$hoursofparking,andNoahpaid$\$30$ for $9$ hours of parking. A sign in the garage states that the fee includes a one-time entrance charge plus the same hourly rate for each hour parked. If $f(x)$ represents the total fee, in dollars, for parking $x$ hours, which equation could represent $f(x)$?

On a coordinate plane, the edge of a wheelchair ramp is modeled by a line. The ramp begins at ground level at the point $(2,0)$ and reaches a platform at the point $(14,3)$. Building code requires a handrail to be installed along a line parallel to the ramp and exactly $1$ unit above it vertically at every $x$-value. Which equation represents the handrail line?