Question

How to solve this steps by steps ?

The next diagrams draw a fraction of the best straight line graphs associated with the equation `s = p + q / t` p and q are constants. Find the value of p and the value of q.

Answer 1

`p=5/2`

`q=-3/2`

Explanation:

.

`s=p+q/t`

We can re-arrange this equation into the slope-intercept form of a straight line which is:

`y=mx+b`

where `m` is the slope and `b` is the `y`-intercept.

`s=q(1/t)+p`

where `q` is the slope and `p` is the `s`-intercept.

Let's use the coordinates of the the two points given to solve for `p` and `q`:

`1=q(1)+p`

`-2=q(3)+p`

These two equations can be simplified as:

`q+p=1`

`3q+p=-2`

We cam multiply the top equation by `(-1)` to get:

`-q-p=-1`

`3q+p=-2`

Now, we add the two equations:

`2q=-3`

`q=-3/2`

`p=1-q=1-(-3/2)=1+3/2=5/2`