Question

What is the slope of the line parallel to the given line (just graph it)

Answer 1

Problem:

what is the slope of the line parallel to the given line

(just graph it)​

Solution:

First, we will find the slope of the given line.

By definition, the slope m of a line is given by the following equation:

`m\text{ = }(Y2-Y1)/(X2-X1)`

Where (X1,Y1) and (X2,Y2) are given points on the line. In our case we can take any point on the line, for example:

(X1,Y1) = (3,3)

(X2,Y2) = (0,-3)

Replacing the previous data in the slope equation we obtain:

`m\text{ = }(Y2-Y1)/(X2-X1)\text{ = }(-3-3)/(0-3)=(-6)/(-3)=2`

then, the slope of the given line would be m=2.

Now, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts.

Then, we can conclude that the slope of the line parallel to the given line is 2. Now, to draw this parallel line, we just have to translate the original line to any other position, for example, the origin: