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Yes, you can choose any two distinct points on a line to calculate the slope. The slope is determined by the change in the y-coordinates divided by the change in the x-coordinates of those two points. As long as the points are distinct and not the same, the slope will remain constant for a straight line. This property is fundamental in geometry and helps in understanding linear relationships.
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What can you choose any two distinct points on a line to calculate the slope?
You can choose any two distinct points on a line to calculate the slope because the slope is defined as the ratio of the vertical change (rise) to the horizontal change (run) between those points. This ratio remains constant for a straight line, regardless of which two points are selected, as the slope reflects the line's steepness and direction. By using different pairs of points, you will always arrive at the same slope value for that line.
Can you choose any two points on a line to calculate the slope true or false?
True. You can choose any two distinct points on a line to calculate the slope. The slope is determined by the formula (m = \frac{y_2 - y_1}{x_2 - x_1}), where ((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points. As long as the points are not the same, the slope will represent the line's steepness.
If given two points from a linear table of values how can you calculate the slope of the equation that was used to generate the table?
Choose two distinct points from the table and designate their coordinates as x1, y1 and x2, y2. The slope of the line then will equal (y2 - y1)/(x2 - x1).
Does it matter which of the two points of a line you choose to call x1 y1 and which you choose to call x2 y2 to calculate the slope of the line?
Apex:true
It doesn't matter which of the two points on a line you choose to call (x1 y1) and which you choose to call (x2 y2) to calculate the slope of the line.?
Slope of line: (y2 -y1)/(x2-x1)
You can choose any two distinct points on a line to calculate the slope?
A.True
If given two points from a linear table of values how can you calculate the slope of the equation that was used to generate the table?
Choose two distinct points from the table and designate their coordinates as x1, y1 and x2, y2. The slope of the line then will equal (y2 - y1)/(x2 - x1).
Does it matter which of the two points of a line you choose to call x1 y1 and which you choose to call x2 y2 to calculate the slope of the line?
Apex:true
It doesn't matter which of the two points on a line you choose to call (x1 y1) and which you choose to call (x2 y2) to calculate the slope of the line.?
Slope of line: (y2 -y1)/(x2-x1)
Which is the formula to calculate the slope of this line?
The formula to calculate the slope of a line is given by ( m = \frac{y_2 - y_1}{x_2 - x_1} ), where ( (x_1, y_1) ) and ( (x_2, y_2) ) are two distinct points on the line. The slope ( m ) represents the change in the y-coordinate divided by the change in the x-coordinate between the two points.
Is It doesn't matter which of the two points on a line you choose to call (x1 y1) and which you choose to call (x2 y2) to calculate the slope of the line True or false?
true
How do you calculate the slope between two points?
The slope is calculated as: y1-y2/x1-x2 given two sets of points
What is the slope of the points (-3-1) and (3-2)?
Points: (-3, -1) and (3, -2) Slope: -1/6
What is the point-slope form for 3 7?
You need two points before you can calculate the slope.
How can you calculate a slope of graph?
Points: (x, y) and (x, y) Slope: y1-y2/x1-x2
The slope of a line will depend on which of the two points you choose to call (x1 y1) and which you choose to call (x2 y2) when calculating the slope.?
True
If three points are given then how do you prove that they are collinear?
0). Considering any TWO points, you can calculate the slope of the line between them like this: Slope = (difference between the y-values of the two points) divided by (difference between the x-values of the two points). Use this technique to examine your THREE points, like this: 1). Calculate the slope of the line between Point-2 and Point-1. 2). Calculate the slope of the line between Point-3 and Point-1. 3). If the two slopes are equal, then the three points all lie on the same line.
