Mathematics
Easy

Question

# The linear equation that have slope  is

Hint:

## The correct answer is: 3y = x

### In the question the slope of a equation of line is We have to find the equation of the line having slop In option a the equation isy=3x       .............(1)On comparing eq 1 with y=mx+c we get, m=3 and c=0.Here, the slope of the line is 3.In option b the equation of line isy=-3x            ................(2)On comparing eq 2 with y=mx+c we get, m=-3.Here, the slope of the line is -3.In option c the equation of line is3y=x              ................(3)Convert eq 3 in the form of y=mx+c.On comparing eq 4 with y=mx+c we get, m=Here, the slope of the line is In option d the equation of line is3y=-x           ..............(5)Convert eq 5 into the form y=mx+c.On comparing eq 6 with y=mx+c, we get m=Here, the slope of the line is .So, the equation having slope  is 3y=x.Therefore the correct option is c, i.e., 3y=x.

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.