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. 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.

(-5,0)
(0,5)
7
proportional
(0,0)
-5/3
non proportional
y=-2/3x+5
y= 5x - 2
y=5x+2/3
0
y=2/3x+5
y=-32x + 5
- 2/3

1 answer

Based on the information you've provided, I can guide you through filling out the responses based on common features of lines and graphs. However, without the actual graph, I'll assume a generic line to help you understand how to answer the questions.

a. What is the y-intercept?

  • The y-intercept is where the line crosses the y-axis. If the y-intercept happens to be (0,5), you would respond: (0, 5)

b. What is the slope?

  • The slope can be determined by the change in y over the change in x from two points on the line. If the slope is -5/3, you would respond: -5/3

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

  • The slope-intercept form is given as y = mx + b, where m is the slope and b is the y-intercept. Given the data above, if the slope is -5/3 and the y-intercept is (0,5), the equation would be: y = -5/3x + 5

d. This is a _____ relationship.

  • If the graph passes through the origin (0,0) and has a consistent rate of change (slope), it is a proportional relationship. If it does not pass through the origin, it's non-proportional. If using the previous context and (0,5) is the y-intercept, you would respond: non proportional

So, filling based on the hypothetical graph:

  • a: (0, 5)
  • b: -5/3
  • c: y = -5/3x + 5
  • d: non proportional

Please adjust according to the actual graph you may have!