Question

For each linear equation write the slope of a line parallel to the given line. 3x - 2y = 8 ​

Answer 1

We first need to convert 3x - 2y = 8 into y = mx + b form.

To do this, we first subtract 3x from

both sides and we have -2y = -3x + 8.

Now divide both sides by -2 and we have y = 3/2x - 4.

Now, we want the slope parallel to this given line.

Since the m or the coefficient of the x term

represents slope, we know this line has a slope of 3/2.

Now, it's important to understand that parallel lines have the same slope.

So the slope of the line parallel to this line will also be 3/2.