Answer:
12) y=3x-15
14) y=-1/2x
16) y=13x-105
Step-by-step explanation:
Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):
12) y=3x+b
14) y=-1/2x+b
16) y=13x+b
now, we can plug in each of the coordinates given to these equations.
12) (4,-3): 4 is x, -3 is y.
-3=3(4)+b
simplify: b= -15
14) (-4,2): -4 is x, 2 is y
2=-1/2(-4)+b
simplify: b=0
16) (9,12): 9 is x, 12 is y
12=13(9)+b
simplify: b=-105
Now, plug in those numbers to your equation for b value.
12) y=3x-15
14) y=-1/2x
16) y=13x-105
*for 14 we don't need to write anything after -1/2x because b=0*
An absolute value inequality for "all numbers less than 7 and greater than -7" is given by |x| < 7.
<h3>How to write an absolute value inequality?</h3>
Based on the information provided, we can logically deduce that the statement describes an intersection of set because the word "and" was used.
This ultimately implies that, we would use the less than (<) symbol to write an absolute value inequality for the given statement:
|x| < 7
Therefore, this can be translated as follows:
-7 < x < 7 or x < 7 and x > -7.
Read more on number line here: brainly.com/question/24644930
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Answer:
Will you try to please repost it so i can better answer it and try to reword it some because it's a bit confusing for those who want to help me