$$ P ( - 4 , - 5 ) , y = 6 x - 7 $$

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It looks like you have a point $$ P(-4, -5) $$ and a linear equation $$ y = 6x - 7 $$. If you would like to find out whether the point lies on the line represented by the equation, you can substitute the x-coordinate of the point into the equation and see if the resulting y-coordinate matches the y-coordinate of the point.

1. Substitute $$ x = -4 $$ into the equation $$ y = 6x - 7 $$:

$$
y = 6(-4) - 7
$$
$$
y = -24 - 7
$$
$$
y = -31
$$

2. Now, compare this result with the y-coordinate of point $$ P $$:

The y-coordinate of point $$ P $$ is $$ -5 $$, while the calculated y-coordinate from the equation is $$ -31 $$.

Since $$ -31 \neq -5 $$, the point $$ P(-4, -5) $$ does not lie on the line $$ y = 6x - 7 $$.

If you have any other questions or need further assistance, feel free to ask!
The point $$ P(-4, -5) $$ does not lie on the line $$ y = 6x - 7 $$.

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