Question

Considering the graph of a line with a negative slope which of the following could be true?

Answer 1

Option B is right

Explanation:

Given is line with negative slope.

We are to find out how the graph of the line would look like.

Since slope is negative, we find that whenever x increases, y decreases with constant rate.

This is possible only when the line goes down from left to right

Hence out of the 4 options given, I option is incorrect.

B is right

C and D are wrong because a straight line would have a constant slope always.

Answer 2

For this case we have that the generic equation of the line is:
y = mx + b
Where,
m: slope of the line
b: cutting point with the y axis
x: independent variable
y: dependent variable
When m <0, then as the values of x increase, the values of y decrease.
Therefore, the line decreases from left to right in the graph.
Answer:
The line goes down from left to rigth.
option B