1. is (0,3) a solution to the equation y=x+3 (1 point)
yes**
no
2. is (1,4) a solution to the equation y=-2x (1 point)
yes
no**
3. (4,0),(3,-1),(6,3),(2,-4)
Which are solution to y=x-4?Choose all correct answers. (2 points)
(6,3)
(4,0)**
(3,-1)
(2,-4)**
Im not sure i need help Ms.Sue!
I'd be happy to help you!
In order to determine if a given point is a solution to an equation, you can substitute the coordinates of the point into the equation and check if the equation holds true.
1. For the equation y=x+3, we can substitute the given point (0,3) into the equation. By replacing x with 0 and y with 3, we get 3 = 0 + 3, which is true. Therefore, (0,3) is a solution to the equation.
2. Similarly, for the equation y=-2x, we can substitute the given point (1,4) into the equation. By replacing x with 1 and y with 4, we get 4 = -2(1), which simplifies to 4 = -2, which is false. Therefore, (1,4) is not a solution to the equation.
Next, let's consider the given points (4,0), (3,-1), (6,3), and (2,-4), and we need to determine which of these points are solutions to the equation y=x-4.
3. For each point, we can substitute the given x and y values into the equation y=x-4 and check if the equation holds true.
For the point (4,0), substituting x=4 and y=0, we get 0 = 4 - 4, which simplifies to 0 = 0, which is true. Therefore, (4,0) is a solution to the equation.
For the point (3,-1), substituting x=3 and y=-1, we get -1 = 3 - 4, which simplifies to -1 = -1, which is true. Therefore, (3,-1) is a solution to the equation.
For the point (6,3), substituting x=6 and y=3, we get 3 = 6 - 4, which simplifies to 3 = 2, which is false. Therefore, (6,3) is not a solution to the equation.
For the point (2,-4), substituting x=2 and y=-4, we get -4 = 2 - 4, which simplifies to -4 = -2, which is false. Therefore, (2,-4) is not a solution to the equation.
Therefore, the correct solutions to the equation y=x-4 are (4,0) and (3,-1).
I hope this helps! Let me know if you have any further questions.
1. ok
2. ok
3> !!!!
(6,3) NO agree
(4,0) YES agree
(3,-1) YES DISAGREE 3 - 4 = -1 yes
(2,-4) NO DISAGREE 2 - 4 = -2 not -4