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The points are (-1, -4) and (3, -5). The change in 'x' is 4. The change in 'y' is -1. The slope of the line is dy/dx = -1/4 = -0.25

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What is the slope of -5 3 and 3 3?

Two points don't have a slope. But the line between them does. The line between the points (-5, 3) and (3, 3) has a slope of zero.


The constant rate of change between two points on a line?

The constant rate of change between two points on a line is called slope.


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.


Why can you use any two points on a line to find its slope?

You can use any two points on a line to find its slope because the slope represents the rate of change between two points. By selecting two distinct points, you can measure the vertical change (rise) and the horizontal change (run) between them. The slope is calculated as the rise divided by the run, which remains constant for any two points on a straight line. This characteristic defines the linear relationship represented by the line.


Why is the slope between any two points on the straight line always to same?

The slope between any two points on a straight line is constant because a straight line represents a linear relationship between the two variables. This means that the rate of change remains consistent regardless of which two points you choose on the line. Mathematically, the slope is calculated as the change in the vertical direction (rise) over the change in the horizontal direction (run), and for a straight line, this ratio does not vary. Therefore, the slope remains the same for all pairs of points on that line.

Related Questions

What is the slope of -5 3 and 3 3?

Two points don't have a slope. But the line between them does. The line between the points (-5, 3) and (3, 3) has a slope of zero.


The constant rate of change between two points on a line?

The constant rate of change between two points on a line is called slope.


When the rate of change between any two points on a line is negative What is the slope of the line?

No


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.


Why can you use any two points on a line to find its slope?

You can use any two points on a line to find its slope because the slope represents the rate of change between two points. By selecting two distinct points, you can measure the vertical change (rise) and the horizontal change (run) between them. The slope is calculated as the rise divided by the run, which remains constant for any two points on a straight line. This characteristic defines the linear relationship represented by the line.


Is the rate of change between any two points on a line?

That's called the line's slope.


Why is the slope between any two points on the straight line always to same?

The slope between any two points on a straight line is constant because a straight line represents a linear relationship between the two variables. This means that the rate of change remains consistent regardless of which two points you choose on the line. Mathematically, the slope is calculated as the change in the vertical direction (rise) over the change in the horizontal direction (run), and for a straight line, this ratio does not vary. Therefore, the slope remains the same for all pairs of points on that line.


Find the slope of the line containing points 3 4 and -2 4?

how to find the slope of the line between the two points (-1,2) and (3, -6). can you plaese show how


A ratio that describes the tilt of a line?

The slope of the line is the tilt of the line. The ration is the difference of two y points over the difference between two x points.


What is the equation to find the slope between two points?

If our two points were (x1,y1) and (x2,y2). We'd remember slope is rise over run. We'd have (y1-y2)/(x1-x2). Plug in your numbers, and you would have the slope of the line between these two points.


What is nonvertical line is the ratio of the vertical change to the horizontal change between any two points on a line?

The slope.


What is the slope of the line formed by these two points 2 3 and 4 2?

To find the slope we need to divide the difference in rise between these two points by the difference in run between them. The difference in rise equals: 3-2 = 1. The difference in run between these points equals: 2-4 = -2.Now we just divide 1/-2 and we get the slope of the line formed by these two points: -0.5