To find the equation of the line passing through the points $(0, 5)$ and $(1, 3)$, we need to:

Step 1: Find the slope of the line

The formula for the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Substitute the coordinates of the points $(0, 5)$ and $(1, 3)$:

$m = \frac{3 - 5}{1 - 0} = \frac{-2}{1} = -2$

So, the slope of the line is $m = -2$.

Step 2: Use the point-slope form of the line equation

The point-slope form of the equation of a line is:

$y - y_1 = m(x - x_1)$

Substitute the slope $m = -2$ and the point $(0, 5)$ into the equation:

$y - 5 = -2(x - 0)$

Simplify the equation:

$y - 5 = -2x$

$y = -2x + 5$

Thus, the equation of the line is:

$y = -2x + 5$

Final Answer:

$y = -2x + 5$

Would you like further explanation on any step?

Here are 5 related questions to explore:

1. How do you find the slope between two points on a graph?
2. What is the general form of a line equation?
3. How can we identify the y-intercept from a line equation?
4. What is the point-slope form of the equation of a line, and how is it used?
5. How can we graph a line using the equation $y = -2x + 5$?

Tip: Always check the coordinates carefully before calculating the slope, as a simple error in signs can change the slope's value.