To find the slope-intercept form of the equation $y = mx + b$, we need to determine the slope $m$ and the y-intercept $b$.

1. Find the slope $m$:

   The slope $m$ is calculated using the formula:

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

   For the points $(0, -10)$ and $(5, 0)$:

   $m = \frac{0 - (-10)}{5 - 0} = \frac{10}{5} = 2$

   So, the slope $m$ is 2.

2. Find the y-intercept $b$:

   Since the line passes through the point $(0, -10)$, this is the y-intercept. Therefore, $b = -10$.

3. Write the equation:

   Substitute the values of $m$ and $b$ into the slope-intercept form:

   $y = 2x - 10$

So, the equation of the line in slope-intercept form is $y = 2x - 10$.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. How do you find the slope of a line if given two points?
2. What is the significance of the y-intercept in a linear equation?
3. How do you graph a line given its slope-intercept form?
4. What are parallel and perpendicular lines in terms of their slopes?
5. How can you convert a linear equation from standard form to slope-intercept form?

Tip: Always check your calculations by substituting the points back into the final equation to ensure they satisfy the equation.