Question

Find the slope and $y$ intercept for $y = 5$ ?

Answer 1

Hint : To solve this problem, we need to know the formula for the straight line equation which is $y = mx + c$ , where m is a slope and $c$ is the $y -$ intercept. And with the help of other clues given in the question we are able to solve this problem.

Complete step-by-step answer :
Let’s consider the straight-line equation which is,
$y = mx + c$ … (1)
where $m$ is the slope and $c$ is the $y -$ intercept
As in the question, it is mentioned that the value of $y = 5$ , when we draw a graph, it forms a straight line which is parallel to $x - axis$ . As we know that if we want to get a slope, it needs to be inclined to the $y - axis$ . Hence $y = 5$ , does not form a slope and the value of $m$ will be equal to $0$ .
Substitute $m = 0$ in equation (1) we get,
$y = (0)x + c \\\ y = c \;$
The above equation says that $y$ is equal to $c$ , we know that $y$ is equal to $5$ , And by this, we can say $c = 5$ .
The value of $y$ intercept $c$ is $5$ . The value of slope $m$ is $0$ . Hence the required answer.
So, the correct answer is “c=5 ,m=0”.

Note : The $y$ intercept of a graph is the points where the graph crosses the $y - axis$ . The $y -$ intercept is often referred with $y$ value.
We get a slope only if the straight line or a curve is inclined to either $x - axis$ or $y - axis$ . In the case if it is parallel to $x - axis$ or $y - axis$ , the value of slope $m$ will be equal to $0$ or infinity respectively.