Question

Question
Use the image to answer the question.

An illustration shows a coordinate plane with four quadrants. The x and y axes extend from negative 10 to 10 in increments of 1. Two points are plotted on the graph. An upward slanting line connects the two points. Point A is plotted at coordinates left parenthesis 0 comma 6 right parenthesis. Point B is plotted at left parenthesis negative 2 comma 2 right parenthesis.

Identify the slope and y
-intercept of the line. Provide the most simplified form of the slope.

(1 point)
The slope is
. The y
-intercept is (0,
).
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Answer 1

To determine the slope and y-intercept of the line connecting points A (0, 6) and B (-2, 2), we can follow these steps:

1. **Calculate the Slope (m)**:
The slope of a line (m) is calculated using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Let's assign the points:
- Point A (x₁, y₁) = (0, 6)
- Point B (x₂, y₂) = (-2, 2)

Now substitute the coordinates into the slope formula:
\[
m = \frac{2 - 6}{-2 - 0} = \frac{-4}{-2} = 2
\]

2. **Identify the Y-Intercept (b)**:
The y-intercept of a line is the y-coordinate where the line crosses the y-axis. From Point A (0, 6), we see that the line crosses the y-axis at y = 6.

Thus, the outputs are as follows:
- The slope is **2**.
- The y-intercept is (0, 6).

So, the final answer is:
The slope is **2**. The y-intercept is **(0, 6)**.