Question
The value of “a”, if the slope between the points (a, 1) & (7, 2) is 2.
- 3.5
- 14
- 6.5
- 0
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 find the value of a.
The correct answer is: 6.5
In the question it is given that the slope of the line between the points (a,1) and (7,2) is 2.
We have to find the value of a.
Step 1: Find the value of intercept of the line.
Consider (7,2) as (x,y).
Put the values of x,y and m in y=mx+c.
Step 2: Find a.
In y=mx+c put the values x=a, y= 1 and m= 2.
So, the value of a is 6.5.
Therefore the correct option is c, i.e., 6.5.
Intercept is a point on y- axis from which the slope of the line passes. This can be determined by putting the value of m, x and y in y=mx+c.
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