Question

find a point on the line and the lines slope.
y - 3 = -\frac{1}{5}(x - 4)
point on the line: (\square, \square)
slope: \square

Explanation:

Step1: Recall point - slope form

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

Step2: Identify the point and slope from the given equation

For the equation $y - 3=-\frac{1}{5}(x - 4)$, comparing it with the point - slope form $y - y_1=m(x - x_1)$, we can see that $x_1 = 4$, $y_1=3$ and $m=-\frac{1}{5}$.
So, a point on the line is $(4,3)$ and the slope of the line is $-\frac{1}{5}$.

Answer:

point on the line: $(4,3)$
slope: $-\frac{1}{5}$