What is the slope of the line that passes through the points (-8, -6) and (2, -3)
2 answers:
To find the slope of this line, I will show you the graphing method.
To find the slope of the line using the graphing method, we first set up a coordinate system like I have done for you below.
Next, we plot our two points.
Start by plotting (-8, -6) which we label point A and (2, -3) which
we label point B and we graph our line through the two points.
Next, remember that the slope or <em>m</em> is equal
to the rise/run from point A to point B.
To get from point A to point B, we rise 3 units and run 10 units.
So our slope or rise/run is 3/10.
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The issue with using the side-splitter to solve for x is that the side-splitter theorem is used to find lengths of the sides being split by parallel lines. In this case, the x is on a line that is parallel and thus could not be solved for using this theorem.
If we created a triangle where the tops of the non-parallel lines connected, we would be able to compare the following and solve:
However, none of this would help us solve for x using this theorem.
If we created a triangle where the tops of the non-parallel lines connected, we would be able to compare the following and solve:
However, none of this would help us solve for x using this theorem.
Answer:
Solutions are (6,3) and (-2,3).
Step-by-step explanation:
From the first equation given we can write:
substituting for in the second equation given we get
∴ y=3
Putting y=3 in the first equation we get
x-2 = ±4
Hence x=6 or x=-2.