a Substitute x- and y-coordinates of the point into the equation of the line and evaluate.
B
b Substitute x- and y-coordinates of the point into the equation of the line and evaluate.
C
c Substitute x- and y-coordinates of the point into the equation of the line and evaluate.
D
d Substitute x- and y-coordinates of the point into the equation of the line and evaluate.
A
a Not a solution.
B
b Yes, it is a solution.
C
c Yes, it is a solution.
D
d Not a solution.
Practice makes perfect
a We want to determine whether the given point is a solution to the given equation. To do so, we will substitute the x- and y-coordinates of the point into the equation of the line and evaluate.
As we can see, the substitution resulted in contradiction, so the given point does not satisfy the equation of the line. It means that the point (1,2) does not lie on the given line.
b We want to determine whether the given point is a solution to the given equation. To do so, we will substitute the x- and y-coordinates of the point into the equation of the line and evaluate.
As we can see, the substitution resulted in true statement, so the given point satisfies the equation of the line. It means that the point (4,2) lies on the given line.
c We want to determine whether the given point is a solution to the given equation. To do so, we will substitute the x- and y-coordinates of the point into the equation of the line and evaluate.
As we can see, the substitution resulted in true statement, so the given point satisfies the equation of the line. It means that the point (7,6) lies on the given line.
d We want to determine whether the given point is a solution to the given equation. To do so, we will substitute the x- and y-coordinates of the point into the equation of the line and evaluate.
As we can see, the substitution resulted in contradiction, so the given point does not satisfy the equation of the line. It means that the point (4,- 3) does not lie on the given line.
