Question

Look at the graph:
Graph points: (0,5) (3,3) (6,1)
(4 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a. What is the y-intercept?

b. What is the slope? Response area

c. What is the equation of the line in slope-intercept form? Response area

d. This is a Response area relationship.

Answer 1

Let's analyze the points given in the graph: (0,5), (3,3), and (6,1).

a. **What is the y-intercept?**
The y-intercept is the point where the line crosses the y-axis. From the points provided, the y-intercept is the y-coordinate of the point (0,5), which is **5**.

b. **What is the slope?**
The slope (m) can be calculated using the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Using the points (0,5) and (3,3):
\[ m = \frac{3 - 5}{3 - 0} = \frac{-2}{3} \]
So, the slope is **-2/3**.

c. **What is the equation of the line in slope-intercept form?**
The slope-intercept form is given by:
\[ y = mx + b \]
Where \( m \) is the slope and \( b \) is the y-intercept.
Using the slope (-2/3) and the y-intercept (5):
\[ y = -\frac{2}{3}x + 5 \]

d. **This is a **linear** relationship.**
Since the points form a straight line, the relationship between x and y is linear.

In summary:
a. **5**
b. **-2/3**
c. **y = -2/3x + 5**
d. **linear**