What is The equation of a vertical line passing through the point (-5,-1)
2 answers:
Answer:
The answer is x=-5
Step-by-step explanation:
In order to determine the equation, we need to know about vertical line equations.
In general, a line equation has the form:
Where "y" is the dependent variable, "x" is the independent variable, "m" is the slope of the line and "n" is the value where the line cuts the "y" axis.
A vertical line, x only takes one value. Thus, the equation for a vertical line is x = a, where a is the value that x takes.
So for the coordinate (-5,-1), the vertical line has to pass through the "x" value, that it is -5, therefore the equation of a vertical line passing through the point (-5,-1) is:
x=-5
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Answer:
The second option (see attached image)
Step-by-step explanation:
You are looking for a box diagram that represents 9 units, and from those, clearly marked sections that contain 3/2 = 1.5 units.The idea is to count how many 1.5 units you have in 9 units.
The in the second diagram you see 9 boxes subdivided in half. Then outlined in red other smaller boxes of length 1.5 units. We can clearly see from the diagram that there are exactly 6 of these smaller 1.5 units red boxes to produce the total 9 unit object.
Answer:
Second choice:
Fifth choice:
Step-by-step explanation:
Let's look at choice 1.
I'm going to subtract 1 on both sides for the first equation giving me . I will replace the
in the second equation with this substitution from equation 1.
Expand using the distributive property and the identity :
So this not the desired result.
Let's look at choice 2.
Solve the first equation for by dividing both sides by 2:
.
Let's plug this into equation 2:
This is the desired result.
Choice 3:
Solve the first equation for by adding 3 on both sides:
.
Plug into second equation:
Expanding using the distributive property and the earlier identity mentioned to expand the binomial square:
Not the desired result.
Choice 4:
I'm going to solve the bottom equation for since I don't want to deal with square roots.
Add 3 on both sides:
Divide both sides by 2:
Plug into equation 1:
This is not the desired result because the variable will be squared now instead of the
variable.
Choice 5:
Solve the first equation for by subtracting 1 on both sides:
.
Plug into equation 2:
Distribute and use the binomial square identity used earlier:
.
This is the desired result.