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A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative one, zero and zero, one.
\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{\llap{-}1}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{\llap{-}1}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[y\]
\[x\]
What is the slope of the line?


To find the slope of a line, you can use the slope formula:

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

The problem tells us that the line intersects the points \((-1, 0)\) and \((0, 1)\). Let’s substitute these points into the slope formula, where \((x_1, y_1) = (-1, 0)\) and \((x_2, y_2) = (0, 1)\).

\[
\text{slope} = \frac{{1 - 0}}{{0 - (-1)}} = \frac{1}{1} = 1
\]

So, the slope of the line is \(1\).

Do you want more details or have any questions?  
Here are 5 related questions to consider:
1. How would the slope change if the points were \((-2, -1)\) and \((1, 2)\)?
2. What is the equation of the line passing through \((-1, 0)\) and \((0, 1)\)?
3. Can you find the y-intercept of a line given its slope and a point?
4. How do parallel and perpendicular lines relate to their slopes?
5. What happens to the slope if the line is vertical?

**Tip:** For any two points on a line, the slope represents how much the y-coordinate changes for a unit change in the x-coordinate.

Learn how to calculate the slope of a line passing through the points (-1, 0) and (0, 1). This problem covers essential algebraic concepts and the slope formula, making it ideal for students in Grades 6-8.

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