Question

The point (-3,5) and (-2,p) fall on a line with a slope of 3. What is the value of p?

Option 1: 8
Option 2: 7
Option 3: 6
Option 4: 5

Answer 1

The value of p is found using the slope formula and is determined to be 8, corresponding with Option 1.

Step-by-step explanation:

The student's question involves finding the value of p for a point on a line with a known slope. Since the slope (m) of the line is given as 3, and we have two points (-3,5) and (-2,p), we use the formula for the slope of a line: m = (y2 - y1) / (x2 - x1). Plugging the values into the formula, we get 3 = (p - 5) / (-2 - (-3)). This simplifies to 3 = (p - 5), which leads us to p = 3 + 5, giving us p = 8. Therefore, the main answer to the student's question is that the value of p is 8, which corresponds to Option 1.