Answer:
The value of y that satisfies the conditions is y = 0.
Explanation:
To find the value of y that satisfies the given conditions, we can first determine the slope of the line containing points (5, -6) and (9, y), and then use that slope to find the value of y for the line containing points (1, -3) and (3, y).
The formula for calculating the slope (m) between two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
For the line containing points (5, -6) and (9, y):
m = (y - (-6)) / (9 - 5)
Now, the line containing points (1, -3) and (3, y) is parallel, which means it has the same slope as the first line:
m = (y - (-3)) / (3 - 1)
Now, equate these two equations:
(y + 6) / 4 = (y + 3) / 2
To solve for y, cross-multiply:
2(y + 6) = 4(y + 3)
Now, expand and solve for y:
2y + 12 = 4y + 12
Subtract 2y from both sides:
12 = 2y + 12 - 2y
Now, subtract 12 from both sides:
0 = 2y
Divide by 2:
0 / 2 = 2y / 2
y = 0
So, the value of y that satisfies the conditions is y = 0.
Now, you can graph the line containing points (1, -3) and (3, 0) on a separate sheet of paper. The line will be a horizontal line passing through y = 0.
solved by MG