Question
In making a road the engineer decided to keep the slope as 0.1. Treating the initial point of the road as (0, 0), then the point that lies on the road among the following is
- (1, 10)
- (10, 1)
- (-1, -10)
- (-1, 10)
Hint:
A line is a one-dimensional figure, which is consists of a set of points and it has no end points. Line is also known as the shortest distance between two points. Line can be expressed in form of an equation whose standard form is y=mx+c, where m is the slope of the line and c is the intercept of the line. Here, we have to write the point that lies on the line which can be done by using the slope given in the question.
The correct answer is: (10, 1)
In the question the given slope is 0.1 and the initial point is (0,0).
We have to find the point which lies on the road.
Step 1: Find the intercept of the line.
Put x and y as 0 and the slope as 0.1 in y= mx+c.
y= mx+c
0= 0.1
0 +c
c=0
Step 2: Find the value of x and y.
Put the value of m and c in y=mx+c.
y= 0.1x ...................(1)
Among the given options, the options a and c satisfies the eq. 1.
But, (-1,-10) is not possible as the point lies on the road cannot be negative.
So, the the point which lies on the road is (1,10).
Therefore, the correct option is a, i.e., (1,10).
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