Question 1

Question

11. Look at the graph:

(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? Response area

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.

Question 2
12. Which equation represents the graph?

(1 point)
Responses

y=3x+5
y is equal to 3 x plus 5

y=−45x+3
y is equal to negative 4 fifths x plus 3

y=12x−1
y is equal to 1 half x minus 1

y=54x+3
y is equal to 5 fourths x plus 3
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Answer 1

To answer your questions, I'll provide general guidelines since I cannot see the graphs you've mentioned.

Question 1:

1. Y-intercept: Look at the point where the line crosses the y-axis. That value is the y-intercept. It can be represented as (0, y) where y is the y-intercept value.

2. Slope: The slope of a line is the change in y divided by the change in x (rise over run). You can calculate the slope by picking two points on the line, say (x1, y1) and (x2, y2), and using the formula: \[ \text{slope} = \frac{y2 - y1}{x2 - x1} \]

3. Equation of the line in slope-intercept form: The slope-intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept. You can write the equation using the values obtained for the slope and y-intercept.

4. Nature of the relationship: The nature of the relationship could be linear if the graph is a straight line.

Question 2: To determine which equation represents the graph, consider the slope (which you calculated in Question 1) and the y-intercept. Compare these values with the given options to see which equation aligns with your findings.

If you have specific values or further context to provide, feel free to share, and I can assist with more detailed answers!