Question

A)

Use the image to answer the question.
11
10+
-9-
87
y
8-
7-
со да сто
-6-
5-
-4-
3-
-2-
1-
-0+
-9 -8 -7 -6 -5 -4 -3 -2 -1₁0 1 2
-1
678
-6-
(1Ė3)
-20 (0Ė-2)
-34
-44
-5-
-7-
-8-
-9-
-10-
-11-
N.
3 4 5
Use the graph to derive the equation of the line in slope-intercept form.
(1 point)
6789

Answer 1

To determine the equation of the line shown in the graph, we need to find the slope (m) and the y-intercept (c). From the graph, we can see that the line passes through the points (-2, -10) and (5, 8). Step 1: Calculate the slope (m) The slope (m) can be calculated using the formula: m = (change in y) / (change in x) (change in y) = 8 - (-10) = 18 (change in x) = 5 - (-2) = 7 m = 18 / 7 (which is approximately 2.57) Step 2: Calculate the y-intercept (c) To find the y-intercept (c), we need to identify the value of y when x = 0. From the graph, we can see that when x = 0, y is approximately -7. Therefore, the equation of the line in slope-intercept form (y = mx + c) is: y = 2.57x - 7 So, the equation of the line shown in the graph is y = 2.57x - 7. I hope this explanation helps! Let me know if you have any further questions.