Question

What is the slope of the line \[y=6x-2\]?

Answer 1

Hint: From the given question we are asked to find the slope of \[y=6x-2\]. So, we will use the formulae of slope of a straight line in its general formulae. The formulae is for a general form \[y=mx+c\] the slope will be \[m\]. So, we will take the given equation of the straight line in the question and we will bring it into the general form and then using the formulae we will find the answer. So, our solution will be as follows.

Complete step by step solution:
Generally from the concept of straight lines the general form of slope intercept form of a line will be as follows.
\[\Rightarrow y=mx+c\]
Here the parameter \[m\] is the slope and c is a constant.
Now we will bring the given equation into the slope intercept form.
So, we get the equation reduced as follows.
\[\Rightarrow y=6x-2\]
\[\Rightarrow y=6x+\left( -2 \right)\]
Here we can see that we have reduced the given equation into slope intercept form.
So, from comparing the above equation we got to the slope intercept form. We get,
\[\Rightarrow m=6,c=-2\]
Therefore the required slope is \[ m=6\].

Note: Students must be very careful in doing the calculation part. We must have good knowledge in the concept of straight lines and its properties along with its various forms. We must use the general slope intercept form that is \[ y=mx+c\] to solve our question.