216k views
3 votes
Which word describes the slope of the line?

positive
negative
zero
undefined

Which word describes the slope of the line? positive negative zero undefined-example-1
User Jay Pete
by
8.1k points

2 Answers

5 votes
Since the line, from left to right, is going upward, the slope is positive.
User Alexander Abramov
by
7.2k points
5 votes

Answer:

positive

Explanation:

The slope is the inclination of the line with respect to the x-axis. It is denoted by the letter
m. In mathematical language, the slope
m of the line is defined as the difference on the y-axis divided by the difference on the x-axis for two different points
P_1(x_1,y_1) and
P_2(x_2,y_2) on the line:


m=(\Delta y)/(\Delta x) =(y_2-y_1)/(x_2-x_1)

If:


  • m>0 The slope is positive and the line is increasing from left to right


  • m<0 The slope is negative and the line is decreasing from left to right

  • If a line is vertical the slope is undefined


  • m=0 is a constant function.

Since the graph of the linear function shown is increasing from left to right, we can conclude that the slope is positive.

User Jams
by
7.9k points

No related questions found