The equation will be 12a – 360 = 216. Then the value of the variable a will be 48.
<h3>What is the solution of the equation?</h3>
The solution of the equation means the value of the unknown or variable.
When you multiply a number by 12 and subtract the product from 360, the difference is 216.
Let the number be a.
Then we have the equation
12a – 360 = 216
By solving the equation, we have
12a = 216 + 360
12a = 576
a = 576/12
a = 48
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We are given
equation of line as

we will check each options
option-A:
we can plug (3,1)
x=3 and y=1


we can see that
they are not equal
so, this is FALSE
option-B:
we can plug (-1,-2)
x=-1 and y=-2


we can see that
they are equal
so, this is TRUE
option-C:
we can plug (-3,4)
x=-3 and y=4


we can see that
they are not equal
so, this is FALSE
option-D:
we can plug (2,6)
x=2 and y=6


we can see that
they are not equal
so, this is FALSE
Answer:
1,-10 and 2,-8
Step-by-step explanation:
If you substitute each answer choice:
6+-10=4
12+-8=4
12+8=4
6+2=4
The only ones that would make sense are the first and second one.
The equation that runs through the location (4,-6) has the slope-intercept form,
.
<h2>Formation of the equation</h2>
A line's equation written in the slope-intercept form:
y=mx+b
where m= slope & b= y-intercept
The slope of two parallel lines is equal.
Currently, we know the line's equation:

here, slope, m= 
A line equation is created by adding the slope's value and the point's coordinates (4, -6):

⇒ -6=-3 +b [adding 3 to both sides]
⇒-3=b
⇒b= -3
Hence the solution is
.
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