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.
The expression is equivalent to
.
<h2 /><h2>Given that</h2>
Expression; 
<h3>We have to determine</h3>
Which expressions are equivalent to the given expression.
<h3>According to the question</h3>
Expression; 
To solve the given expression follow all the steps given below.
By applying the distributive property of multiplication;

Then,
The equivalent expression is,

Hence, the expression is equivalent to
.
To know more about Equation click the link given below.
brainly.com/question/13174611
Answer:
The right answer is:
Option OB: f(1) = -9
Common difference: 7
Step-by-step explanation:
Given sequence is:
-9, -2, 5, 12,...
Here the first number is f(1)
Common Difference:
Common difference is the difference between consecutive terms of an arithmetic sequence. It is denoted by d.
In the given sequence,
f(1) = -9
f(2) = -2
f(3) = 5

Hence,
The right answer is:
Option OB: f(1) = -9
Common difference: 7