Answer:
4x-17=x/2+8
Step-by-step explanation:
we have

<u>Statements</u>
<u>case A)</u> The graph is a straight line.
The statement is True
Because, this is a linear equation (see the attached figure)
<u>case B)</u> The line passes through the origin.
The statement is False
Because the point
is not a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is not true
the point
is not a solution
therefore
The line does not pass through the origin
<u>case C)</u> The line passes through the point 
The statement is True
Because the point
is a solution of the equation
Verify
Substitute the value of x and y in the equation

------> is true
the point
is a solution
therefore
The line passes through the point 
<u>case D) </u>The slope of the line is 
The statement is False
Because, the slope of the line is 
<u>case E)</u> The y-intercept of the line is 
The statement is False
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For 
find the value of y

the y-intercept is equal to 
A linear equation has 1 for all exponents on the placeholders
aka the equation is first degree (aka the hightest exponent on placeholders=1) so
it is linear
We know that
[volume of rectangular prism]=L*W*h
L= 6 in prism A
volume of rectangular prism A=6*w*h
L=6*(1/2)------> L=3 in prism B
volume of rectangular prism B=3*w*h
so
volume of rectangular prism B=[volume of rectangular prism A]/2
the answer is
Volume of B is 1/2 volume of A