The slope of a line is a measure of the rate of change of the incline of a line. Slope is more commonly taught as "rise over run". This kind of problem can be easily solved for by using the simple formula for slope. 

, where  denotes slope. Rise denotes change in the y-axis where run denotes change in the x-axis. This makes sense because rise indicates a vertical change while run indicates a horizontal change.

The given points may be arbitrarily assigned as  and . For this problem we will assign  as  and  as . 

Therefore, 

The slope of a line is a measure of the rate of change of the incline of a line. Slope is more commonly taught as "rise over run". This kind of problem can be easily solved for by using the simple formula for slope. 

, where  denotes slope. Rise denotes change in the y-axis where run denotes change in the x-axis. This makes sense because rise indicates a vertical change while run indicates a horizontal change.

The given points may be arbitrarily assigned as  and . For this problem we will assign  as  and  as . 

Therefore, 

To solve this question you must get the equation written in the   formula.

To do this, you need to isolate the  by dividing everything by . So you will get:

 in the slope-intercept equation is your slope, which in this equation is .

The easiest way to solve this porblem is to change it into slope-intercept form:

where m is slope and b is the y intercept.

Combining like terms and isolating y:

Now our function is ins slope-intercept form and we can see that:

.

The original function is is given in standard form, 

.

Convert this equation into slope-intercept form, 

.

First subtract 3x from each side.

Now divide by negative two to solve for y.

In slope intercept form the equation becomes, 

.

We know that, in slope-intercept form, the slope is given as "m" while the y-intercept is given as "b".

Therefore, the slope of this function is  and the y-intercept is .

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.