answersLogoWhite

0

Questioning also is a good skill. It must be clear and precise to get the apt answer which will be useful to each and every one.

With the nine words put in that way I guess that you mean the slope remains the same every where at all points in between two given points. Is that right?

Then the curve in between the two points will be a straight line.

User Avatar

Wiki User

16y ago

What else can I help you with?

Related Questions

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

The slope between any two points on a straight line is constant because a straight line has a uniform rate of change. This means that for every unit increase in the x-direction, there is a consistent, fixed increase or decrease in the y-direction, resulting in the same ratio of change (rise over run) between any two points. Consequently, no matter which two points you choose on the line, the slope will always yield the same value.


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.


Does a vertical line have a slope of 0?

No. A horizontal line has a slope of 0. A vertical line has an undefined slope. Let's say you have a vertical line with the points (3,-2) and (3,4). The slope is (y1-y2)/(x1-x2) = (-2-4)/(3-3) = -6/0 = undefined. Notice that x is the same for both points. A line in which all points have the same value for x is a vertical line and as such has an undefined 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.


What is it called when two coordinates on a graph have the same slope?

When two coordinates on a graph have the same slope, this situation is often described as being "collinear." This means that the points lie on the same straight line, and the slope between any two pairs of these points remains constant. In terms of linear equations, this is also related to the concept of parallel lines, which share the same slope but do not necessarily intersect.


How can you find the slope of a line from the table of values from a line?

Pick any two points in the table. The slope of the line is(change in the y-value from one point to the other)/(change in the x-value from the same point to the other)


Does a linear equation have the same slope?

Yes, a linear equation represents a straight line and has a constant slope throughout the entire line. The slope indicates the rate of change between the variables, meaning that for any two points on the line, the slope remains the same. Thus, all linear equations of the same form will have the same slope if their coefficients are consistent.


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.


How do you find the slope of a line from its graph what is the formula for m?

The slope of a line is the rise divided by the run. In other terms, if, X = the horizontal distance between two points on a line and Y = the vertical distance between the same points, then m = Y/X


How does the slope differ from average rate of change?

They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.


How many points of intersection are there If two lines have the same slope and the same y-intercepts?

If both lines have the same slope and the same y-intercept, they're the same line. So, infinite intersection points, I guess.


Are the points 1 2 15 -40 and -10 35 collinear?

Check whether the slope between point #1 and point #2 is the same as the slope between point #2 and point #3. If it is, then they are collinear.