Question

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

Explanation:

Step1: Identify point-slope form

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

Step2: Match to given equation

Compare $y-5=\frac{4}{3}(x-4)$ to the point-slope form.

• For the point: $x_1=4$, $y_1=5$
• For the slope: $m=\frac{4}{3}$

Answer:

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