$$ P ( 2 , - 3 ) , y = - \frac { 1 } { 2 } x + 4 $$

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UpStudy AI · Accepted Answer

It looks like you have a point $$ P(2, -3) $$ and a linear equation $$ y = -\frac{1}{2}x + 4 $$.

If you want to determine whether the point $$ P $$ lies on the line defined 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 $$ x = 2 $$ into the equation:

$$
y = -\frac{1}{2}(2) + 4
$$

2. Calculate:

$$
y = -1 + 4 = 3
$$

The calculated y-value is $$ 3 $$, while the y-coordinate of point $$ P $$ is $$ -3 $$. Since $$ 3 \neq -3 $$, the point $$ P(2, -3) $$ does not lie on the line given by the equation $$ y = -\frac{1}{2}x + 4 $$.

If you have any other questions or need further assistance, feel free to ask!
The point $$ P(2, -3) $$ does not lie on the line $$ y = -\frac{1}{2}x + 4 $$.

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