Can you help me with understand how to solve this problem? Find the slope of the line that goes through the following points: (-4,6), (-8,6)

Asked on by zigtozag

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cburr's profile pic

cburr | Middle School Teacher | (Level 2) Associate Educator

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The slope of a line is the measure of how steep it is. A positive slope means the line is getting higher as you move to the right. A negative slope means the line is getting lower as you move to the right. If a line has a slope of 0, it is horizontal. Vertical lines have no slope.

To find the slope, you need to know the x and y coordinates of two points: (x1, y1) and (x2, y2). Here’s the formula – note that the letter ‘m’ is used to mean slope (which makes no sense, but there you are):

m (slope) = y2 – y1 / x2 – x1

Note that it doesn’t really matter which pair of points you call 1 and which you call 2. Just make sure that you subtract in the same order on the top and bottom.

Let’s call your point 1 (-4, 6) and your point 2 (-8, 6). Plugging these values into the formula gives you

6 – 6 / -8 - (-4)

which equals

0 / -8 +4

which equals

0 / -4

which equals


To solve this, as soon as you knew that the numerator was 0, you had the answer. The slope is 0, which means that the line is a flat HORIZONTAL line.

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enotechris's profile pic

enotechris | College Teacher | (Level 2) Senior Educator

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Given two points, you can always find the slope of a line. You're given 2 points (-4,6) and (-8,6) with specific values, but generally a point is referred to by (x,y). Now he point slope formula is:

1)  (y - y1) = m(x - x1)

     where m represents the value of the slope. Rearranging the equation gives:

2)   m = (y - y1) / (x - x1)

      so if you plug in your point values, you get

3)   m = (6 - 6) / (-4 - (-8))

      subtracting a negative number means you change the sign to addition:

4)   m = (6 - 6) / (-4 + 8)

      which simplifies to

5)   m = 0 / 4

      Zero divided by anything is zero, so the slope is zero:

6)   m = 0

      A zero slope means there's no slope; the line never intersects with the x axis; it's parallel to it, and in this case, it's parallel at y = 6.  Draw an X,Y graph with your two points and you'll see!

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dracomath's profile pic

dracomath | Student, Grade 11 | (Level 1) Honors

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revolution's profile pic

revolution | College Teacher | (Level 1) Valedictorian

Posted on

gradient= (y1-y2)/(x1-x2)

where y1= 6, y2=6, x1=-4, x2=-8

y=mxtc where m is the slope/gradient

m= (6-6)/(-4-(-8))



So, slope is zero

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