I can see the image of your Algebra test question, which asks you to identify the slope and y-intercept of the given line.

Step 1: Identify Two Points on the Line

From the graph, I will identify two points where the line crosses grid intersections. It appears that the line passes through:

• (0, 3) (this is the y-intercept)
• (3, 0) (another point on the line)

Step 2: Calculate the Slope

The formula for slope $m$ is:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using the points $(0,3)$ and $(3,0)$:

$m = \frac{0 - 3}{3 - 0} = \frac{-3}{3} = -1$

Step 3: Identify the Y-Intercept

The y-intercept is the point where the line crosses the y-axis. From the given points, the line crosses the y-axis at (0,3), so:

$b = 3$

Final Answer:

• Slope $m = -1$
• Y-Intercept $b = 3$

Would you like a more detailed explanation or graphing steps?

Here are 5 related questions for practice:

1. How do you determine the slope from a graph using rise over run?
2. If a line has a positive slope, what does it mean about its direction?
3. What does a slope of 0 indicate about a line?
4. How do you write the equation of a line given the slope and one point?
5. What happens to the graph of a line when you change its y-intercept?

Tip:

A negative slope means the line slants downwards from left to right.