Determining if a Point is on a Line Worksheet :
Worksheet given in this section is much useful to the students who would like to practice problems on determining if a point is on a line.
Problem 1 :
Decide whether the point (3, -2) is on the line whose equation is
y = 2x - 8
Problem 2 :
Decide whether the point (-2, 8) is on the line whose equation is
y = 6x + 4
Problem 3 :
Decide whether the point (1, -12) is on the line whose equation is
y = -10x - 2
Problem 4 :
Decide whether the point (2, 2) is on the line whose equation is
2x + 3y - 10 = 0
Problem 5 :
If the point (-1, -5) is on the line 9x - y + k = 0, find the value of k.
Problem 1 :
Decide whether the point (3, -2) is on the line whose equation is
y = 2x - 8
Solution :
The given point is
(x, y) = (3, -2)
Substitute 3 for x and -2 for y in the given equation.
-2 = 2(3) - 8 ?
-2 = 6 - 8 ?
-2 = -2 (True)
The statement is true, so the point is (3, -2) is on the line.
Problem 2 :
Decide whether the point (-2, 8) is on the line whose equation is
y = 6x + 4
Solution :
The given point is
(x, y) = (-2, 8)
Substitute -2 for x and 8 for y in the given equation.
8 = 6(-2) + 4 ?
8 = -12 + 4 ?
8 = -8 (False)
The statement is false, so the point (-2, 8) is not on the line.
Problem 3 :
Decide whether the point (1, -12) is on the line whose equation is
y = -10x - 2
Solution :
The given point is
(x, y) = (1, -12)
Substitute 1 for x and -12 for y in the given equation.
-12 = -10(1) - 2 ?
-12 = -10 - 2 ?
-12 = -12 (True)
The statement is true, so the point (1, -12) is on the line.
Problem 4 :
Decide whether the point (2, 2) is on the line whose equation is
2x + 3y - 10 = 0
Solution :
The given point is
(x, y) = (2, 2)
Substitute 2 for x and 2 for y in the given equation.
2(2) + 3(2) - 10 = 0 ?
4 + 6 - 10 = 0 ?
0 = 0 (True)
The statement is true, so the point (2, 2) is on the line.
Problem 5 :
If the point (-1, -5) is on the line 9x - y + k = 0, find the value of k.
Solution :
The given point is
(x, y) = (-1, -5)
Substitute -1 for x and -5 for y in the given equation.
9(-1) - (-5) + k = 0
-9 + 5 + k = 0
-4 + k = 0
Add 4 to each side.
k = 4
So, the value of k is 4.
After having gone through the stuff given above, we hope that the students would have understood, "Determining if a Point is on a Line Worksheet".
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