Answer: No
Find the equation of the line using slope-intercept form: y = mx + b
y = -1/2x + b ^ ^
slope y-intercept
Find b, the y-intercept (where the line intersects the y-axis) by substituting the coordinates of point Q (6, 7).
y = -1/2x + b Subtitution
7 = -1/2(6) + b Simplify
7 = -3 + b Add 3 to both sides
10 = b Isolated b
b = 10 Isolated b
Using the above information, find the equation of the line.
y = -1/2x + b
y = -1/2x + 10
To find if point S (2,5) lies on the line, substitute in its coordinates in the equation of the line.
y = -1/2x + 10 Substitution
5 = -1/2(2) + 10 Simplify
5 = -1 + 10 Simplify
5 = 9 --> If the statement is true, the point lies on the line.
If the statement is false, the point does not lie on the line.
In this case, 5 does not equal 9. Therefore, point S does not lie on the line.