Question
The graph for the equation y = x minus 4 is shown below.
On a coordinate plane, a line goes through (0, negative 4) and (4, 0).
Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions?
y minus x = negative 4
y minus x = negative 2
y minus 4 = x
y + 4 x = 1
On a coordinate plane, a line goes through (0, negative 4) and (4, 0).
Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions?
y minus x = negative 4
y minus x = negative 2
y minus 4 = x
y + 4 x = 1
Answers
Answered by
Bot
The equation y + 4x = 1 will form a system with y = x - 4 that has an infinite number of solutions. To see why, we can substitute y = x - 4 into the equation y + 4x = 1 to get (x-4) + 4x = 1, which simplifies to 5x - 4 = 1, or 5x = 5, or x = 1. Substituting x = 1 into y = x - 4 gives y = -3. So the solution to the system is (1, -3), and any equation that passes through this point will also intersect y = x - 4 at that point, giving an infinite number of solutions.
Answer
choose a awnser for the previous question
Answered by
Bot
The equation y + 4x = 1.
Answer
The graph for the equation y = negative 2 x + 1 is shown below.
On a coordinate plane, a line with negative slope goes through (0, 1) and (1, negative 1).
If another equation is graphed so that the system has no solution, which equation could that be?
y = negative 2 (x minus one-half)
y = negative one-half (4 x + 2)
y = negative x + 1
y = negative one-half x + 2
On a coordinate plane, a line with negative slope goes through (0, 1) and (1, negative 1).
If another equation is graphed so that the system has no solution, which equation could that be?
y = negative 2 (x minus one-half)
y = negative one-half (4 x + 2)
y = negative x + 1
y = negative one-half x + 2
Answered by
Bot
The equation y = -x + 1 can be graphed with the given equation and will form a system with no solution. This is because the slope of y = -x + 1 is opposite in sign to the slope of y = -2x + 1, which means the lines will never intersect and there is no solution to the system.
Answer
choose a awnser for the previous question
Answered by
Bot
y = -x + 1.
Answer
A system of equations is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 1, 2).
How many solutions does this system have?
no solutions
one unique solution
two solutions
an infinite number of solutions
On a coordinate plane, 2 lines intersect at (negative 1, 2).
How many solutions does this system have?
no solutions
one unique solution
two solutions
an infinite number of solutions
Answered by
Bot
This system has one unique solution.
Answer
The graphed line shown below is y = 5 x minus 10.
On a coordinate plane, a line goes through (2, 0) and (3, 5).
Which equation, when graphed with the given equation, will form a system that has no solution?
y = negative 5 x + 10
y = 5 (x + 2)
y = 5 (x minus 2)
y = negative 5 x minus 10
On a coordinate plane, a line goes through (2, 0) and (3, 5).
Which equation, when graphed with the given equation, will form a system that has no solution?
y = negative 5 x + 10
y = 5 (x + 2)
y = 5 (x minus 2)
y = negative 5 x minus 10
Answered by
Bot
The equation y = negative 5 x + 10, when graphed with y = 5x - 10, will form a system with no solution. This is because the slopes of the two lines are opposite in sign, meaning they are parallel and will never intersect.
Answer
choose an awnser for the previous question
Answered by
Bot
y = negative 5x + 10.
Answer
The graph for the equation y = 2 x + 4 is shown below.
On a coordinate plane, a line goes through (negative 2, 0) and (0, 4).
If another equation is graphed so that the system has one solution, which equation could that be?
y = 2 x minus 4
y = 2 (x + 2)
y = 2 (x minus 4)
y = x + 4
choose an awnser
On a coordinate plane, a line goes through (negative 2, 0) and (0, 4).
If another equation is graphed so that the system has one solution, which equation could that be?
y = 2 x minus 4
y = 2 (x + 2)
y = 2 (x minus 4)
y = x + 4
choose an awnser
Answered by
Bot
The equation y = 2 (x - 2) can be graphed with the given equation and will form a system with one solution. This is because the two lines intersect at point (-2, 0), giving a unique solution to the system.
Answer
incorrect
Answered by
Bot
I'm sorry about that. Let me explain.
The slope of the line passing through (-2, 0) and (0, 4) is (4 - 0) / (0 - (-2)) = 2. Therefore, the line passing through (-2, 0) and (0, 4) has an equation y = 2x + 4.
For the system to have exactly one solution, the other line must pass through a point that does not lie on the line y = 2x + 4 and has a slope different from 2. The equation y = 2(x - 1) satisfies these conditions and will form a system with one solution.
So, the answer is y = 2(x - 1). I apologize for the confusion caused earlier.
The slope of the line passing through (-2, 0) and (0, 4) is (4 - 0) / (0 - (-2)) = 2. Therefore, the line passing through (-2, 0) and (0, 4) has an equation y = 2x + 4.
For the system to have exactly one solution, the other line must pass through a point that does not lie on the line y = 2x + 4 and has a slope different from 2. The equation y = 2(x - 1) satisfies these conditions and will form a system with one solution.
So, the answer is y = 2(x - 1). I apologize for the confusion caused earlier.
Answer
still incorrect would you like awnser choices
Answered by
Bot
I apologize again for the confusion. Please provide answer choices, so I can accurately choose the correct answer.
Answer
y = 2 x minus 4
y = 2 (x + 2)
y = 2 (x minus 4)
y = x + 4
y = 2 (x + 2)
y = 2 (x minus 4)
y = x + 4
Answered by
Bot
The equation y = 2 (x + 2) can be graphed with the given equation and will form a system with one solution. This is because the two lines intersect at point (-2, 0), giving a unique solution to the system.
Therefore, the answer is y = 2 (x + 2).
Therefore, the answer is y = 2 (x + 2).