Both of these tables represent linear graphs:
1 linear graphs :
X = -3, -2, -1, 0, 1, 2, 3, 4
y = 8, 10, 12, 14, 16, 18, 20, 22
2 linear graph :
X = -3, -2, -1, 0, 1, 2, 3, 4
Y = -2, 0, 2, 4, 6, 8, 10, 12
Does the line through the first set of points intersect with the line through the second set of points?
(1 point)
Responses
Yes…these lines are parallel
Yes…these lines are parallel
Yes…these lines are perpendicular
Yes…these lines are perpendicular
You cannot tell without a graph
You cannot tell without a graph
No…these lines are parallel
No…these lines are parallel
Yes…these lines are not parallel nor perpendicular
Yes…these lines are not parallel nor perpendicular
No…these lines are perpendicular
No…these lines are perpendicular
You cannot tell without a graph.
Graphs :
1 linear graphs :
X = -3, -2, -1, 0, 1, 2, 3, 4
y = 8, 10, 12, 14, 16, 18, 20, 22
2 linear graph :
X = -3, -2, -1, 0, 1, 2, 3, 4
Y = -2, 0, 2, 4, 6, 8, 10, 12
Based on the provided graphs, the line through the first set of points does not intersect with the line through the second set of points.
To determine if the line through the first set of points intersects with the line through the second set of points, we can compare the slopes of the two lines.
The slope of a line can be determined using the formula:
slope = (change in y)/(change in x)
For the first set of points:
Slope = (change in y)/(change in x)
Slope = (10-8)/(-2-(-3))
Slope = 2/1
Slope = 2
For the second set of points:
Slope = (change in Y)/(change in X)
Slope = (0-(-2))/(-2-(-3))
Slope = 2/1
Slope = 2
Since the slopes of the two lines are the same (both have a slope of 2), this means the lines are parallel and will not intersect.
Therefore, the correct answer is: No...these lines are parallel.
To determine if the line through the first set of points intersects with the line through the second set of points, we can compare their slopes.
To find the slope of a linear equation given two points, we use the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
For the first set of points:
slope = (10 - 8) / (-2 - (-3)) = 2 / 1 = 2
For the second set of points:
slope = (0 - (-2)) / (-2 - (-3)) = 2 / 1 = 2
Since the slopes of both lines are the same (2), the lines are parallel. Therefore, the correct answer is:
Yes...these lines are parallel.