Answer
$y - 5 = \frac{5}{4}(x - 4)$
Work Step by Step
We are given the points $(0, 0)$ and $(4, 5)$.
Let's use the formula to find the slope $m$ given two points:
$m = \frac{y_2 - y_1}{x_2 - x_1}$,
where $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.
Let's plug in these values into this formula:
$m = \frac{5 - 0}{4 - 0}$
Subtract the numerator and denominator to simplify:
$m = \frac{5}{4}$
Now that we have the slope, we can use one of the points and plug these values into the point-slope equation, which is given by the formula:
$y - y_1 = m(x - x_1)$,
where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
Let's plug in the points and slope into the formula:
$y - 5 = \frac{5}{4}(x - 4)$
