Question

The following represents slopes of two lines. Which answer choice describes the two lines? m = 7 and m = -7

Answer 1

Answer:
The slopes of two lines are given as:

m = 7
m = -7

A line with a positive slope of 7 rises as it moves to the right, and a line with a negative slope of -7 falls as it moves to the right.

Therefore, the two lines have slopes that are opposite in sign and have the same magnitude. This means they are two straight lines that are mirror images of each other, reflected across the x-axis.

Graphically, they would look like this:

yaml

^
|
|
|
------ + ------ (m = 7)
|
|
|
v

v
|
|
|
------ + ------ (m = -7)
|
|
|
^

Therefore, the two lines are parallel to each other and have a distance between them

Answer 2

m = 7 can also be y=7x+1 is positive and shows acceleration or ascending lines steep y axis 1 and x axis 0 ascending to 1 or above and when y = 7 x =1 see attached.

m = -7 is negative and shows deceleration of 1 as we add 1 here too. Or can be any number for y intercept see attached.

Explanation: