Answer:
B
Step-by-step explanation:
Okay, so this is a fairly challenging problem.
Parallel lines have the same slop, but different y-intercepts.
The new equation is y = 4/3 x + b
Now substitute x and y for the point's coordinates...
-4 = 4/3 (3) + b
(solve for b)
-4 = 12/3 + b
-4 = 4 + b
b = -8
The final equation is:
y = 4/3 x - 8
In point-slope form, this is B
Answer:
D
Step-by-step explanation:
Answer:
The solution is:
Step-by-step explanation:
Considering the expression










Solving the right side of the equation A.

As

Because


⇒ 


So





So, equation A becomes






Therefore, the solution is
Answer:
Yes, if you keep all of this in mind... This all came from my lesson during class btw.
Step-by-step explanation:
Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect. Almost any situation where there is an unknown quantity can be represented by a linear equation, like figuring out income over time, calculating mileage rates, or predicting profit. Many people use linear equations every day, even if they do the calculations in their head without drawing a line graph. When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Answer: 6
Step-by-step explanation: Notice that in this problem, we have a variable that's not only being multiplied by a number, 2 times x, we're also adding 5 to that particular variable.
So to solve this, we must undo what's being done and we must do the same thing to both sides. Remembering that you must work in the reverse order of operations, the first thing that you're going to undo is what you're adding to the variable so to undo the +5, you will subtract 5 from both sides.
The 2x remains, the 5 - 5 cancels and on the right side,
17 -5 is 12 so 2x = 12.
To undo our multiplication we will divide.
2 divided by 2 just gives us the <em>x</em> leftover and our
12 divided by 2 gives us 6.