Question

What is the slope and the y- intercept of this line $y=-2$?

Answer 1

To solve the question we need to know the concept of the equation of the line. To find the slope and the y- intercept of the line the formula used will be $y=mx+c$. The first step is to find the slope by equating the above equation of the line with the equation of the line given in the question. Similarly we will find the value of y- intercept.

Complete step-by-step solution:
The question asks us to find the slope and the y- intercept of this line $y=-2$ .Firstly we will equate the slope- intercept of the line with the equation of the line given in the question. The equation of the line we will use is slope-intercept form which is equal to $y=mx+c$, where $''c''$ is the constant which is also called y-intercept of the line, $''m''$ is the slope of the line. The equation of line given to us is:
$\Rightarrow y=-2$
From the above equation of line we infer that the $x$ term is absent which means the slope of the line is $0$. To be more precise on writing it in the form of the slope intercept form of equation, we get:
$\Rightarrow y=0\times x+\left( -2 \right)$
Equating the above equation with the $y=mx+c$
The slope of the line which is “m” becomes $0$. In the similar manner the y- intercept of the line becomes $-2$. The graphical representation of the above line is shown below:

Through the above line we see that the slope of the line is $0$ and the intercept in y- axis is $-2$.
$\therefore$ The slope and the y- intercept of this line $y=-2$ is $0$ and $-2$ respectively.

Note: The equation of the line could be found in many ways. One of the ways to is slope-intercept form which has been used here in this question. Slope of the line is also called the rate of change of a line. The initial value is the constant $c$ in the slope- intercept form of equation.