Question
The line equation joining (1, 3) & (5, 7) is
- y = x + 2
- x = y + 2
- x - y = 2
- x + y = 2
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 equation of the line which can be done by using the points given in the question.
The correct answer is: y = x + 2
In the question the given points are (1,3) and (5,7).
We have to find the equation of the line.
Step 1: Find the slope of the line joining (1,3) and (5,7).
Let (1,3) and (5,7) be 
Put the values of 
Step 2: Find the intercept of the line joining the points (1,3) and (5,7).
In y=mx+c put x=1, y=3and m=1.
y=mx+c
3=1
1+c
3=1+c
3-1=c
2=c
c=2
Step 3: Find the equation of line.
Put the values of m and c in y=mx+c.
y=mx+c
y=1x+2
y=x+2
So, the equation of the line joining the points (1,3) and (5,7) is y= x+2.
Therefore the correct option is a,i.e., y=x+2.
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.
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