1. **State the problem:** Determine the slope and y-intercept of the line described by the points given in the graph.
2. **Identify points from the graph:** From the description, the line passes through points such as $(-4,-3)$ and $(-3,-2)$.
3. **Calculate the slope $m$ using the formula:**
$$m = \frac{y_2 - y_1}{x_2 - x_1}$$
Using points $(-4,-3)$ and $(-3,-2)$:
$$m = \frac{-2 - (-3)}{-3 - (-4)} = \frac{-2 + 3}{-3 + 4} = \frac{1}{1} = 1$$
4. **Determine the y-intercept $b$:** The line crosses the y-axis at $y=1$ when $x=0$, so $b=1$.
5. **Write the equation in slope-intercept form:**
$$y = mx + b = 1x + 1 = x + 1$$
6. **Answer:** The slope is $m=1$ and the y-intercept is $1$.
Therefore, the correct choice is option a: $m=1$; y-intercept = 1.
Slope Y Intercept A00450
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