Answer:
a. x+6 = 0
b. y-2 = 0
Step-by-step explanation:
Given point is:
(-6,2)
<u>a. Line perpendicular to x-axis:</u>
A line perpendicular to x-axis means that the line is vertical and parallel to y-axis. Any equation parallel to y-axis has the form
x = k
where k is the x-coordinate of the point from which the line passes.
So the required equation is:

<u>b. Line perpendicular to y-axis:</u>
A line perpendicular to y-axis will be a horizontal line parallel to x-axis having the equation of the form
y = b
where b is the y-intercept
Required equation is:

Hence,
a. x+6 = 0
b. y-2 = 0
Deductive reasoning is consists of the axioms<span> (or </span>axiom schemata<span>) and </span>rules of inference<span> that can be used to </span>derive theorems<span> of the system</span>
Theorem is the name given to a statement that has been proven by deductive reasoning. <span>The theorem is obtained with the rules of a </span>deductive system on the basis of <span>previously established statements, for example other theorems.</span>
Answer:
y= -x+8
Step-by-step explanation:
slope int. form: y=mx+b
first, we need to find the slope (m)
the two points are (2,4) and (7,-1).
to find the slope we do (y2-y1)/(x2-x1)
doing this we get -5/5=-1
now we can plug in point (2,4) and the slope into y=mx+b
doing this we get:
4=-1(2)+b
4=-2+b
b=8
now we have the equation:
y= -x+8
Answer:
If twice the opposite of a number increased by five, then the result is the opposite of a number.
The asiest way to solve this is the guess and check method. It is asking you what a number doubled then by adding five is the opposite of that number. Now go through a few SINGLE digit numbers to try and solve. I hope this helps.
Answer:
10x^7-5x^6+15x^3
Step-by-step explanation:
Distribute the 5x^3 to all the terms