Slope of a Line

So the slope of the line, m, is 2.

As you can see,
if a line goes ↗,
then the slope of the line is plus.

Draw a line that passes through
(1, 1) and (3, 5).

The change of x is
3 - 1 = 2.

The change of y is
5 - 1 = 4.

So the change of x is 2.
And the change of y is 4.

Then the slope, m, is
m = 4/2.

4/2 = 2

So the slope of the line, m, is 2.

As you can see,
if a line goes ↗,
then the slope of the line is plus.

So the slope of the line, m, is -3/5.

As you can see,
if a line goes ↘,
then the slope of the line is minus.

Draw a line that passes through
(-4, 1) and (1, -2).

The change of x is
1 - (-4) = 1 + 4 = 5.

The change of y is
-2 - 1 = -3.

So the change of x is 5.
And the change of y is -3.

Then the slope, m, is
m = (-3)/5.

(-3)/5 = -3/5

So the slope of the line, m, is -3/5.

As you can see,
if a line goes ↘,
then the slope of the line is minus.

So the slope of the line, m, is 0.

As you can see,
if a line is →,
then the slope of the line is 0.

Draw a line that passes through
(-1, 2) and (5, 2).

The change of x is
5 - (-1) = 5 + 1 = 6.

The change of y is
2 - 2 = 0.

Then the slope, m, is
m = 0/6.

If the numerator is 0,
then the fraction is 0.

So 0/6 = 0.

So the slope of the line, m, is 0.

As you can see,
if a line is →,
then the slope of the line is 0.

So the answer is [no slope].

As you can see,
if a line is ↕,
then the line has no slope.

Draw a line that passes through
(1, 2) and (1, -3).

The change of x is
1 - 1 = 0.

The change of y is
-3 - 2 = -5.

Then the slope, m, is
m = (-5)/0.

The denominator of a fraction cannot be 0.
So (-5)/0 doesn't make sense.

So the line has no slope.

So the answer is [no slope].

As you can see,
if a line is ↕,
then the line has no slope.