Question

You can ride unlimited number of rides for $25 or seven rides for $5 what is the slope intercept form.

Answer 1

The slope intercept form is;

$y\text{ = 5}$

Here, we want to get the slope-intercept form for the information we are given in the question

Firstly, we need the traditional coordinate form expression

We have it that;

(number of rides, Amount)

So for the two cases, we have the following;

Kindly understand that the term infinity is used to represent infinity

Thus, we have it that;

$(\infty,25)\text{ and (7,5)}$

So basically, we want to get the equation of the line that passes through these two points

We start by getting the slope using the slope formula;

$m\text{ = }\frac{y_2-y_{1_{}}}{x_2-x_1}\text{ = }\frac{5-25}{7-\infty}\text{ =}\frac{-20}{-\infty}\text{ = }0$

Kindly note that any number divided by infinity is zero

From here, we can see that our slope is zero

So the equation looks like;

$y\text{ = 0x + b}$

To get the value of b which is the y-intercept, we make any substitution with one of the coordinates

Let us use the coordinate (7,5)

Thus, we have it that;

$\begin{gathered} 5\text{ = 0 + b} \\ b\text{ = 5} \end{gathered}$

Thus, we have the slope intercept form as;

$y\text{ = 5 }$