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{ = }(5-25)/(7-\infty)\text{ =}(-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 }`