Question

Identify the point from the equation: y + 5 = 3(x - 2)

a) (2, -5)
b) (-2, 5)
c) (5, -2)
d) (-5, 2)

Answer 1

Option (a) (2, -5) satisfies the equation y + 5 = 3(x - 2), as when substituting the values into the equation, it holds true, producing 0 = 0.

Step-by-step explanation:

To identify the point from the equation y + 5 = 3(x - 2), one should replace the x and y values of each point into the equation and see if the equation is satisfied. Here is the check for each option:

• For (2, -5): -5 + 5 = 3(2 - 2), which simplifies to 0 = 0, so this equation is true.
• For (-2, 5): 5 + 5 = 3(-2 - 2), which simplifies to 10 != -12, so this equation is false.
• For (5, -2): -2 + 5 = 3(5 - 2), which simplifies to 3 != 9, so this equation is false.
• For (-5, 2): 2 + 5 = 3(-5 - 2), which simplifies to 7 != -21, so this equation is false.

Therefore, only option (a) satisfies the equation.