Final answer:
To determine the point P on a straight line, substitute the x and y values into the equation of the line.
Step-by-step explanation:
To determine the point P on a straight line, we need to find the coordinates (x,y) that satisfy the equation of the line. We can substitute the given values of x and y into the equation and solve for the other variable.
a) Let's substitute x = 2 and y = 5 into the equation y = 3x + 1:
5 = 3(2) + 1
5 = 6 + 1
5 = 7
Since 5 is not equal to 7, the point (2,5) does not lie on the line y = 3x + 1.
b) Let's substitute x = 3 and y = -7 into the equation 2x + y = 3:
2(3) + (-7) = 3
6 - 7 = 3
-1 = 3
Since -1 is not equal to 3, the point (3, -7) does not lie on the line 2x + y = 3.