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.