The line represented by the equation x + y = 16 passes through (2, 14). How many more lines pass through the point (2, 14) is
Answers
Answer:
There are an unlimited number of lines that pass through the given point, and two of them have the equations 7x -y = 0 and x -y + 12 =0 that intersect at (2,14).
explanation:
The lines intersect at (2, 14). In a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.
We can come up with framing solutions that could fit the given point on the line (2, 14).
Point (2, 14) can be seen to satisfy the equations 7x - y = 0 and x - y + 12 = 0.
Consequently, the lines 7x - y = 0 and x - y + 12 = 0 both pass through the same place (2, 14).
Since we know that an unlimited number of lines can intersect at a single place, there are uncountably more lines intersecting at the indicated position.
Thus, there are 2 lines that pass through the point (2, 14).
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Answer:
many
Step-by-step explanation:
