Answer:
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 = [tex]\frac{\triangle y}{\triangle x}[/tex]
= [tex]\frac{6+4}{-8-4}[/tex]
= [tex]-\frac{10}{12}[/tex]
= [tex]-\frac{5}{6}[/tex]
Other line parallel to this line will have the same slope 'm' = [tex]-\frac{5}{6}[/tex]
Parallel line passes through a point (-6, 10).
Let the other point through which the parallel line passes is (a, b)
Now, [tex]-\frac{5}{6}[/tex] = [tex]\frac{10-b}{-6-a}[/tex]
-5(-a - 6) = 6(10 - b)
5a + 30 = 60 - 6b
5a = -6b + 60 - 30
5a = -6b + 30
a = [tex]-\frac{6}{5}b+6[/tex]
By satisfying with all the options we find only (6, 0) satisfy this equation.
6 = [tex]-\frac{6}{5}(0)+6[/tex]
6 = 6
Therefore, (6, 0) is the other point lying on the parallel line.
Option (1) will be the answer.
Answer:
Step-by-step explanation:
The answer was (6,0) I just got it right on my assignment
