Question

What is the slope of $y=2x+1$?

Answer 1

In the given question, we have been an equation in two variables. Firstly, we figure out what formula should be used. Here, we know that the given line equation is in the form of slope-intercept form. In the slope-intercept form equation, there will be slope ‘m’. So, after that we will find out the slope from the slope-intercept form.

Complete step by step solution:
Let us solve the given question:
To find the required slope, first we have to convert the given equation in a slope-intercept form. The slope – intercept form is:
$y=mx+c$
As we can see that the given line equation is already in the slope-intercept form. So, to find out the slope, we have to pick out the term from slope-intercept form which is as known as slope.
Here, from the slope-intercept form, we get that the coefficient of ‘x’ is ‘m’ and it is the slope and c are y-intercept.
According to the slope-intercept form, we get
$m=2$ and $c=1$.
Therefore, we get that the slope of the line $y=2x+1$ is $2$.

Note: The steepness of a line is called the slope. If a line is positioned from the bottom left to upper right, then the slope is a positive slope. If a line is positioned from the bottom left to upper right, then the slope is a positive slope.