Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (-6,10)

Option (1). (6, 0)

Step-by-step explanation:

The given question is incomplete; here is the complete question.

Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (–6, 10)?

(6, 0)

(0, 6)

(−5, 0)

(0, −5)

Line in orange color is passing through two points (-8, 6) and (4, -4)

Slope of this line =

                            =

                            =

                            =

Other line parallel to this line will have the same slope 'm' =

Parallel line passes through a point (-6, 10).

Let the other point through which the parallel line passes is (a, b)

Now, =

-5(-a - 6) = 6(10 - b)

5a + 30 = 60 - 6b

5a = -6b + 60 - 30

5a = -6b + 30

a =

By satisfying with all the options we find only (6, 0) satisfy this equation.

6 =

6 = 6

Therefore, (6, 0) is the other point lying on the parallel line.

Option (1) will be the answer.