Question

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=________

Answer 1

a=3 is the answer

Explanation:

Answer 2

`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`