Final answer:
To find the equation of the line with a given slope and passing through a certain point, one uses the point-slope form, y - y1 = m(x - x1), inserting the slope 'm' and the coordinates of the point. An illustrative example was provided assuming a slope of 3.
Step-by-step explanation:
To determine the slope of the line that passes through a given point, you would typically use the slope formula, which is m = (y2 - y1) / (x2 - x1). However, the question seems to have a typo or missing information regarding the slope value. Assuming we have the slope value 'm' and the ordered pair (-2,-5), we can use the point-slope form of the equation of a line to find the equation of the line that has this slope and passes through the given point. The point-slope form of a line's equation is y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and 'm' is the slope.
Let's consider an example to illustrate the process:
- Assuming that our slope (m) is 3
- Using the point (-2, -5), which is (x1, y1) in the formula
- Substitute the values into the point-slope form: y + 5 = 3(x + 2)
And from here, you can simplify and rewrite in the y = mx + b form if necessary.