Asked Jan 21, 2019

If the line containing the points (a,5) and (7,14) is parallel to another line with slope 3, find a. Explain.


Expert Answer

Step 1

Let the equation of the line passing the points (a,5) and (7,14)  be;


Step 2

Now. since this line given in Eq(1). is parallel to another line whose slope is 3. This implies that the slope of the line given by Eq(1) is also 3 because the slopes of parallel lines are equal.

Therefore,  m = 3

Step 3

Now let's substitute m =3  in Eq(2)....


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