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Sometimes you do, sometimes you don't.
In the Euclidean plane. a straight line is the shortest distance between two points. Also, the equation of a straight line is simpler than that of curved lines.
Finally, there is the Occam Rule which can be put as follows: when there are lots of possibilities to choose from, go for the simplest one. There are infinitely many curves (including a straight line) that can go through a pair of points.
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What is Frequency curve?
A frequency curve is a graph obtained by joining the points of a frequency polygon freehand smoothly.
When can you say a graph is linear?
when two or more points can create a straight line
What will be graph if an asymptote of it touches at three points?
if it touches at three points it is a straight line. Since it is also an asymptote, it will be a straight horizontal line (zero slope)
Why you can draw a continuous linear function if you only know two ordered pairs?
A continuous linear function produces a straight line graph that can be extended indefinitely in either direction. If the two ordered pairs are plotted on a graph then a straight line can be drawn joining these points. If that line is extended beyond both ends then there are no set limits and the function becomes continuous.
Why do you need to find the equation of a line?
So that you can plot out the points of a straight line on graph paper.
