You move right 7 units and down 2 units. You end at (4, 0). Where did you start?

Answer 1

Moving left or right on the coordinate plane means you are moving in the x-direction. Moving right means adding to the x-coordinate.

Moving up or down on the coordinate plane means you are moving in the y-direction. Moving down means subtracting from the y-coordinate.

Since you are re-tracing your steps to get to where you started, you do the opposite of what is being stated. So instead of going down 2, you go up 2 meaning you add 2 units to the y-coordinate. And instead of going right by 7, you go left by 7 meaning you subtract 7 from the x-coordinate.

The x and y coordinates you ended on are (4, 0) so where you started was ((4 - 7), (0 + 2)) or (-3, 2)

Answer 2

Let (x, y) be the starting point. To that you are adding the coordinates (7, -2) which has you end at the point (4,0).

The equations that model this are:

x + 7 = 4 and y + (- 2) = 0

Solving those equations:

x = -3 and y = 2.

So the starting point is (-3, 2).

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Answer 3

Hi Mia,

Essentially, you need to reverse the directions i. e. work backwards. On a coordinate plane, if you end at (4,0), you started 7 units left and 2 units above that point, which means you began at (-3, 2). I hope this helps.

Answer 4

Hello, thank you for taking the time to post your question!

You can use the information given in the question to set up an equation for both the x and y coordinates.

x + 7 = 4

y – 2 = 0

solving those for the values gives me

x = -3

y = 2

so the starting point here would be (-3,2)

I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)

Answer 5

Let's say your starting point was (x,y)

Since, you moved 7 units right and 2 units down and reached (4,0)

x+7=4 and y-2=0

let's solve for x and y

x=4-7=-3

y=0+2=2

So, you started at (-3,2)

Hope, that helps

Answer 6

Hey Mia! I know Algebra might be extremely stressful but I am here to help! I want you to follow this secret recipe to reach the right solution in the easiest possible manner!

1. The point you arrive at is (4,0) --> x=4, y=0
2. To get to this point, you move 7 units right (on the x-axis) and 2 units down (on the y-axis)
3. Let us assume that on the x-axis, right is positive and left is negative; and on the y-axis, up is positive and down is negative
4. Assuming x1 is the initial position on the x-axis and y1 is the initial position on the y-axis:
5. x1+7=4 --> x1=-3
6. y1-2=0 --> y1=2

I hope you get it Mia. Always remember that I offer my online tutoring sessions at a very competitive rate of $25/hr and I am always happy to adjust to your availability, Mia!!