Is (−5;−154)(−5;−154) a solution to the equation y=−14x−5𝑦=−14𝑥−5?Answer:The correct solution is:

To determine if the point $(-5, -154)$ is a solution to the equation $y = -14x - 5$, we will substitute the x-coordinate of the point into the equation and see if the resulting y-value matches the y-coordinate of the point.

Step 1: Break Down the Problem

1. We have the equation $y = -14x - 5$.
2. We need to substitute $x = -5$ into this equation to find the corresponding y-value.

Step 2: Relevant Concepts

To check if $(-5, -154)$ is a solution, we will substitute $x = -5$ in the equation $y = -14x - 5$.

Step 3: Analysis and Detail

1. Substitute $x = -5$: $y = -14(-5) - 5$
2. Calculate:
   • First, calculate $-14 \times -5 = 70$
   • Now, substitute that value into the equation: $y = 70 - 5 = 65$

Step 4: Verify and Summarize

The calculated y-value is $y = 65$. The point given is $(-5, -154)$ which has a y-coordinate of $-154$. Since $65 \neq -154$, the point does not satisfy the equation.

Final Answer

$(-5, -154)$ is not a solution to the equation $y = -14x - 5$.