11. denzel identified (3,2) as point on the line y - 2 = \\frac{2}{3}(x + 3). what is the error that denzel…

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope.

Step2: Identify correct point from given equation

For the equation $y - 2=\frac{2}{3}(x + 3)= \frac{2}{3}(x-(-3))$, the point on the line should be $(-3,2)$ according to the point - slope form, not $(3,2)$.

Answer:

Denzel misidentified the $x$ - coordinate of the point on the line. The correct point on the line for the equation $y - 2=\frac{2}{3}(x + 3)$ is $(-3,2)$ not $(3,2)$.