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13 votes
Complete the point-slope equation of the line through (−8,−1)
and (−6,5)

User Dilma
by
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1 Answer

25 votes
25 votes

Answer: y+1=3(x+8)

Step-by-step explanation:

The point-slope formula is y-y1=m(x-x1)

First, we need to find the slope.

The slope formula is:

(y2-y1)/(x2-x1)

Therefore, we can plug in numbers from the coordinates.

(5-(-1)/(-6-(-8)

=(6)/(2)

=3

Now we know the slope, we can begin the number plugging. In the equation formula, we know that m is the slope. Therefore, plug 3 for m.

The y1 and the x1 in the equation are the first coordinates for each pair. If it was y2 and x2, then it would be the SECOND coordinate of the pairs. Therefore, after plugging the numbers in, we have:

y+1=3(x+8)

That is your answer, hope it helps!

User Amdg
by
2.8k points