Questions: The point (4,-9) is a solution. The point (0,-12) is a solution.

Transcript text: The point $(4,-9)$ is $\quad$ a solution. The point $(0,-12)$ is $\quad \nabla$ a solution.

Solution

Solution Steps

To determine if a point is a solution to a given equation, we need to substitute the coordinates of the point into the equation and check if the equation holds true. Since the specific equation is not provided in the question, we will assume a generic linear equation of the form $ y = mx + b $ for demonstration purposes.

Step 1: Define the Equation

We are given a linear equation of the form $ y = mx + b $ with $ m = 1 $ and $ b = -12 $. Therefore, the equation is: \[ y = x - 12 \]

Step 2: Verify the First Point

We need to check if the point $ (4, -9) $ is a solution to the equation. Substitute $ x = 4 $ and $ y = -9 $ into the equation: \[ -9 = 4 - 12 \] \[ -9 = -8 \] This is false, so the point $ (4, -9) $ is not a solution.

Step 3: Verify the Second Point

Next, we check if the point $ (0, -12) $ is a solution to the equation. Substitute $ x = 0 $ and $ y = -12 $ into the equation: \[ -12 = 0 - 12 \] \[ -12 = -12 \] This is true, so the point $ (0, -12) $ is a solution.

Final Answer

$\boxed{\text{The point } (0, -12) \text{ is a solution.}}$

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!