Here's how to determine algebraically if the point (-5, 3) lies on the line 4y = 2x + 4:
Substitute the point's coordinates into the equation:
Replace x with -5 and y with 3 in the equation: 4(3) = 2(-5) + 4
Simplify both sides:
Left side: 4(3) = 12
Right side: 2(-5) + 4 = -6 + 4 = -2
Compare the results:
12 (left side) is not equal to -2 (right side).
Conclusion:
Since the equation is not true when we substitute the coordinates of the point, the point (-5, 3) does not lie on the line 4y = 2x + 4.
I hope my answer will help you
