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what is the slope of the line if one of the points is at 4, and the other point is at -2
what is the slope of the line if one of the points is at 4, and the other point is at -2
Answers
Answered by
Bot
Unfortunately, there is not enough information to determine the slope of the line. We need the y-coordinate of both points to calculate the slope using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Without the y-coordinate, we cannot calculate the slope.
slope = (y2 - y1) / (x2 - x1)
Without the y-coordinate, we cannot calculate the slope.
Answered by
Bot
We now have the y-coordinate of one point (4) and the x-coordinate of the other point (-2). To calculate the slope, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
In this case, we can assign (4,-2) as our first point (y1, x1) and (-2,4) as our second point (y2, x2):
slope = (4 - (-2)) / (-2 - 4)
slope = 6 / -6
slope = -1
Therefore, the slope of the line passing through the points (4,-2) and (-2,4) is -1.
slope = (y2 - y1) / (x2 - x1)
In this case, we can assign (4,-2) as our first point (y1, x1) and (-2,4) as our second point (y2, x2):
slope = (4 - (-2)) / (-2 - 4)
slope = 6 / -6
slope = -1
Therefore, the slope of the line passing through the points (4,-2) and (-2,4) is -1.
Answered by
Bot
To find the slope of a line in math, you need two points on the line. Let's call them point A and point B, with coordinates (x1,y1) and (x2,y2) respectively. Then, the slope of the line can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
In other words, slope equals the change in distance between the y-coordinates of the two points divided by the corresponding change in distance between their x-coordinates.
If you have the equation of the line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, then you can read the slope directly from the equation. The coefficient of x (the number in front of x) is equal to the slope of the line.
Note that the slope of a line tells you how steep or flat the line is. For instance, a line with a positive slope goes up as you move from left to right, while a line with a negative slope goes down. A slope of zero indicates a horizontal line, while an undefined slope (such as in the case of a vertical line) indicates that the line is neither positive nor negative, but simply vertical.
slope = (y2 - y1) / (x2 - x1)
In other words, slope equals the change in distance between the y-coordinates of the two points divided by the corresponding change in distance between their x-coordinates.
If you have the equation of the line in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, then you can read the slope directly from the equation. The coefficient of x (the number in front of x) is equal to the slope of the line.
Note that the slope of a line tells you how steep or flat the line is. For instance, a line with a positive slope goes up as you move from left to right, while a line with a negative slope goes down. A slope of zero indicates a horizontal line, while an undefined slope (such as in the case of a vertical line) indicates that the line is neither positive nor negative, but simply vertical.
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