Question
If the line that joins (a, 8) and (-1, 5) is 2y = 3x + 13, then the value of a is
- 1
- - 1
- 0
- 13
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: 1
In the question it is given that the equation of the line joining the points (a,8) and (-1,5) is 2y= 3x+13.
We have to find the value of a.
Step 1: Convert the given equation of line in the form y= mx+c.
Divide both sides by 2.
Step 2: Compare eq. 2 with y=mx+c.
On comparing eq 1 with y=mx+c we get, m= 
Step 3: Find a.
Put x=a, y=8, m=
in y=mx+c.
So, the value of a is 1.
Therefore the correct option is a,i.e., 1.
The standard equation of line is y=mx+c, where m is the slope of the line and c is the intercept. To write the equation of a line we need to find the value of slope and the intercept. The points should satisfy this equation.
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