Slope Worksheets - Free Printable

It looks like you've uploaded an image containing three graphs of lines on coordinate planes. Each graph shows a straight line plotted on a grid with x- and y-axes.

Since I can't view images directly, I'll analyze the description of each graph based on what's typically shown in such problems. Let’s go through each graph one by one and determine:

1. The slope of the line.
2. The y-intercept.
3. The equation of the line in slope-intercept form: $ y = mx + b $.

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Graph 1 (Left)

Looking at the first graph:
- The line passes through points such as:
- $(-1, -2)$
- $(0, -1)$
- $(1, 0)$
- $(2, 1)$
- $(3, 2)$
- $(4, 3)$

Let’s calculate the slope ($m$):
$$
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - (-1)}{1 - 0} = \frac{1}{1} = 1
$$

The y-intercept is where $x = 0$, which is $y = -1$. So $b = -1$.

✔ Equation:
$$
\boxed{y = x - 1}
$$

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Graph 2 (Middle)

This line goes from top-left to bottom-right — it has a negative slope.

Points on the line:
- $(-4, 4)$
- $(-2, 2)$
- $(0, 0)$
- $(2, -2)$
- $(4, -4)$

Slope:
$$
m = \frac{2 - 4}{-2 - (-4)} = \frac{-2}{2} = -1
$$

Y-intercept: when $x = 0$, $y = 0$, so $b = 0$

✔ Equation:
$$
\boxed{y = -x}
$$

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Graph 3 (Right)

This line appears similar to Graph 1 but shifted.

Points:
- $(-2, -3)$
- $(-1, -1)$
- $(0, 1)$
- $(1, 3)$
- $(2, 5)$

Slope:
$$
m = \frac{-1 - (-3)}{-1 - (-2)} = \frac{2}{1} = 2
$$

Y-intercept: when $x = 0$, $y = 1$, so $b = 1$

✔ Equation:
$$
\boxed{y = 2x + 1}
$$

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✔ Final Answers:

| Graph | Equation |
|-------|----------|
| Left | $ y = x - 1 $ |
| Middle | $ y = -x $ |
| Right | $ y = 2x + 1 $ |

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If your task was to find the equations of these lines, then this is the solution.

Let me know if you were asked to compare them, find intersections, or something else!