Answer:
Options (C), (D) and (E)
Step-by-step explanation:
Slope of the given line = 
Any line having same slope will be parallel to the given line otherwise the lines will intersect.
Therefore, we will find the slope of the lines passing through two points given in the options.
Option A
Slope of the line passing through (12, -13) and (15, -12)
m = 
= 
= 
Therefore, both the lines are parallel having no point of intersection.
Option B
Slope = 
= 
Both the lines are parallel having no point of intersection.
Option C
Slope = 
= 
Therefore, both the lines will intersect.
Option D
Slope = 
= 
Both the lines will intersect each other.
Option E
Slope = 
= 
Both the lines will intersect each other at a point.
Options (C), (D) and (E) are the correct options.
A solid dot on the graph of an inequality indicates that the number is contained within the inequality, so yo should use

or

to represent that situation, whereas a white dot indicates that the number is not contained within the inequality.
Our graph is telling us that

is greater or equal than -1, and also

is less than 3. So our inequality will be:
Answer:
anything less than 12
Step-by-step explanation:
The required equation of the line is y = -1/2x
<h3>Equation of a line</h3>
The standard equation of a line is expressed as y = mx + b
- where:
- m is the slope
- b is the y intercept
Given the coordinate points (0,0) and (4, -2)
Slope = -2/4 = -1/2
The intercept is 0 since the line pass through the origin
Hence the required equation of the line is y = -1/2x
Learn more on equation of a line here: brainly.com/question/13763238
The greatest common factor of both x^4 and x^3 would be x^3, since the largest number of X variables that you can evenly take out between both terms is x^3 or x cubed.