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Finding The Missing Coordinate-

A line goes through the point (6,-2) and has a slope of
-3.
What is the value of a if the point (2.7) lies on the line? a=________

2 Answers

4 votes

Answer:

a=3 is the answer

Explanation:

User Ahe
by
8.4k points
3 votes

Answer:


a=3

Explanation:

The correct question is

What is the value of a, if the point (a,7) lies on the line?

step 1

Find the equation of the line in point slope form


y-y1=m(x-x1)

we have


m=-3\\(x1,y1)=(6,-2)

substitute


y+2=-3(x-6) ----> equation in point slope form

step 2

Find the value of a

we know that

If a ordered pair lie on the line, then the ordered pair must satisfy the equation of the line

we have

(a,7)

substitute in the equation of the line


7+2=-3(a-6)


9=-3a+18

Solve for a


3a=18-9


3a=9


a=3

User Alan Feekery
by
7.7k points

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