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

Answer:

$a=3$

Step-by-step 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

$3a=18-9$

$3a=9$

$a=3$

Answer 2

Answer:

a=3 is the answer

Step-by-step explanation: