Use the slope formula to find the slope of the line that passes through the points (3,10)(3,10) and (2,−5)

To find the slope of a line that passes through two points, you can use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Given points \((x_1, y_1) = (3, 10)\) and \((x_2, y_2) = (2, -5)\), substitute these values into the formula:

\[
m = \frac{-5 - 10}{2 - 3} = \frac{-15}{-1} = 15
\]

So, the slope \(m\) of the line passing through the points \((3, 10)\) and \((2, -5)\) is \(15\).

Would you like more details or have any questions?

Here are 5 related questions:
1. How does the slope change if the points are reversed?
2. What does a positive slope indicate about the direction of the line?
3. How do you find the slope if the x-coordinates of both points are the same?
4. How can you use the slope to write the equation of the line?
5. What is the slope of a line that is perpendicular to this line?

**Tip:** When calculating the slope, be careful with the sign of the differences, as it determines whether the slope is positive or negative.

Use the slope formula to find the slope of the line that passes through the points (3,10) and (2,−5).

Learn how to calculate the slope of a line passing through the points (3,10) and (2,-5) using the slope formula. This problem helps students understand key algebraic concepts, suitable for Grades 7-10.

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