Question

How do you find the slope and \[\mathbf{y}\] intercept of \[y-2=0\]?

Answer 1

Hint: Convert the given equation in form of slope intercept form
Which is $y=mx+c$
Where, $m$ is the slope.
$c$ is the $y$ intercept.
Then determine the value of slope and value of $y$– intercept by comparing the converting equation with general form of slope intercept form.

Complete step-by-step solution:
As per data given in the question,
We have,
\[y-2=0\]
As we know that,
The general expression of slope intercept form is,
$y=mx+c...(1)$
Where, $m$ is the slope
\[c\] is the $y$ intercept.
So, converting the given equation,
We will get,
\[y=0+2\]
or, \[y=2\]
Now comparing both equation \[\left( 1 \right)\] and \[\left( 2 \right)\],
We will get,
Value of the slope of graph i.e. \[m=0\] as here there is no term consisting of \[mx\] so we will take it as \[0x\].
So, the value of \[m\] will be \[0\].
And, the value of “\[y\]-intercept” i.e. value of \[c\] will be \[2\].

Hence, the value of slope of the given equation will be \[0\] and it’s \[y\]-intercept will be \[2\].

Note: Slope intercept form is a form of writing an equation of a straight line.
We can also term slope as gradient.e
While we write any equation in this form, we usually get information regarding the equation of the line and the value of slope and intercept of the line.
The slope of the line may be either positive, negative or zero.
If the slope of line is positive it means that the slope upwards from left to right and if the slope of line is negative it means that slope downwards from left to right. if the slope of the line is zero it means that the slope will be parallel to the horizontal line.