A line always has a general equation of y = mx + b where m is the slope of the line and b is the y-intercept. Slope is the rise of one point per run and the y-intercept is the value of y when x is 0. So, the equation should be,
y = (rise/run) x - 4
we have
we know that
The absolute value has two solutions
Subtract
both sides
Step 1
Find the first solution (Case positive)
![-[+(x-12)]=-0.75](https://tex.z-dn.net/?f=-%5B%2B%28x-12%29%5D%3D-0.75)

Subtract
both sides


Multiply by
both sides

Step 2
Find the second solution (Case negative)
![-[-(x-12)]=-0.75](https://tex.z-dn.net/?f=-%5B-%28x-12%29%5D%3D-0.75)

Adds
both sides


<u>Statements</u>
<u>case A)</u> The equation will have no solutions
The statement is False
Because the equation has two solutions------> See the procedure
<u>case B)</u> A good first step for solving the equation is to subtract 0.5 from both sides of the equation
The statement is True -----> See the procedure
<u>case C)</u> A good first step for solving the equation is to split it into a positive case and a negative case
The statement is False -----> See the procedure
case D) The positive case of this equation is 0.5 – |x – 12| = 0.25
The statement is False
Because the positive case is
-----> see the procedure
case E) The negative case of this equation is x – 12 = –0.75
The statement is True -----> see the procedure
<u>case F)</u> The equation will have only 1 solution
The statement is False
Because The equation has two solutions------> See the procedure
Answer:
2. When substituting x=2 and y=1 into the equation, you get a true statement.
<em>Hope this helps you.</em>
my answer here would either be A) or C)
The product of 3 and x is 3x and the given above can be expressed as,
3x - 9 = (1/2)(x + 12)
I assume that the problem asks for the value of x. Solving for x in the equation above gives x = 6.
Thus, the answer is 6.