What is the slope of the points( -3, 10), (-13, -6)
2 answers:
Recall that slope is rise over run, or change in y over change in x.
First, let's take out y values in order. We have 10 and -6. To get from 10 to -6, you need to subtract 16, which gives us our numerator.
Now, let's take our x values in order. We have -3 and -13. To get from -3 to -13, you need to subtract ten.
Now we have our slope, which is
. If we simplify this, our final answer is 
.
First, let's take out y values in order. We have 10 and -6. To get from 10 to -6, you need to subtract 16, which gives us our numerator.
Now, let's take our x values in order. We have -3 and -13. To get from -3 to -13, you need to subtract ten.
Now we have our slope, which is
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Line 1 and line 4 are parallel
Step-by-step explanation:
Two lines are said to be parallel if they have same slope.
In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.
Line 1:
Applying distributive property,
Line 2:
Line 3:
Applying distributive property,
Line 4:
re-arranging,
Now we have rewritten all the lines in the form , where m is the slope. By comparing the values of m, we see:
Therefore, the lines which are parallel are line 1 and line 4.
Learn more about parallel and perpendicular lines:
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