Since we were told to consider the relationship of Q vs. T as a line, this problem falls into the category of liner interpolation problems. That being said, familiarity with linear behavior is the only requirement to successfully handle this problem.

First we should use the two given points to find the slope of this line as: 

.

Realize, that the function of interest is a line, so the slope between any two points must be the same. With this in mind, we can write an equation that describes the slope between the new point (where Q is unkown) and the first point:

Now, we may simply solve this equation to find the new value of Q that must correspond to the T value of .

Isolating Q in the equation above, one may find that when , the value of Q must be .

Find the slope of the line which passes through the following points:

Slope can be found using the following formula:

Now, just plug in the points you are given, making sure to keep them consistent!

So our slope is:

The slope can be found between two points by finding the change in  values divided by the change in  values.

which is often referred to as rise over run,

You can actually use any two points along the line to find the slope as long as the line is linear (straight line). Taking the end points since they are given is a convenient way of doing it.

So the slope of this line segment is 

To find the slope of a line, we will first write it in slope-intercept form

where  is the slope.

So, in the equation

we will solve for y and get it by itself.  To do that, we will divide each term by .

Looking at this equation, we can see  is the slope.

Write the formula for slope.

Either choice will yield the same slope.  Let's use the first equation.

Simplify to find the slope.

The slope  of a line can be solved if you know at least two points that fall on the line using the following equation:

The  coordinates are always written second when looking at coordinate pairs, and therefore the  coordinates are first. We can thus insert our given points into this equation:

Find the slope of the line connecting the following two points:

Find slope with the following formula:

so our slope is simply 1

In order to find the slope, we need to put the following equation in slope intercept form.

The  represents the slope.

Subtract  on both sides.

Simplify the left side and reorganize the right.

Divide by negative three on both sides.

Simplify both sides.

The slope is .

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

The slope is the number in front of the "x" which in this case is -2/3

In order to find the slope of this line, it needs to be converted from standard form into slope-intercept form. To do this solve for "y".

The slope is the number in front of the "x" which in this case is 1