Question

i can create a coordinate plane with four quadrants.
a new clothing brand, pro-bass, is giving out free t-shirts
with their logo. use the grid in your mathematician’s
notebook to create a coordinate plane. scale the x-axis
from -10 to 10 and the y-axis from -10 to 10. then graph
the following points in the order given (a through m).
connect each new point to the previous point as you graph
to reveal the company’s logo.
a(-7, 2), b(-8, 2), c(-8, 4), d(3, 4), e(3, -2), f(-2, -2), g(-2, -7),
h(-3, -7), i(-3, -1), j(1, -1), k(1, 3), l(-7, 3), m(-7, 2)

Explanation:

Step1: Create Coordinate Plane

Draw x - axis (horizontal) and y - axis (vertical) intersecting at origin (0,0). Label x - axis from - 10 to 10 and y - axis from - 10 to 10, with each grid square representing 1 unit.

Step2: Plot Point A

For point \(A(-7,2)\), move 7 units left of origin on x - axis (since x=-7) and 2 units up on y - axis (since y = 2). Mark this point.

Step3: Plot Point B

For point \(B(-8,2)\), move 8 units left of origin on x - axis and 2 units up on y - axis. Connect \(A\) to \(B\).

Step4: Plot Point C

For point \(C(-8,4)\), move 8 units left on x - axis and 4 units up on y - axis. Connect \(B\) to \(C\).

Step5: Plot Point D

For point \(D(3,4)\), move 3 units right on x - axis and 4 units up on y - axis. Connect \(C\) to \(D\).

Step6: Plot Point E

For point \(E(3,-2)\), move 3 units right on x - axis and 2 units down on y - axis (since y=-2). Connect \(D\) to \(E\).

Step7: Plot Point F

For point \(F(-2,-2)\), move 2 units left on x - axis and 2 units down on y - axis. Connect \(E\) to \(F\).

Step8: Plot Point G

For point \(G(-2,-7)\), move 2 units left on x - axis and 7 units down on y - axis. Connect \(F\) to \(G\).

Step9: Plot Point H

For point \(H(-3,-7)\), move 3 units left on x - axis and 7 units down on y - axis. Connect \(G\) to \(H\).

Step10: Plot Point I

For point \(I(-3,-1)\), move 3 units left on x - axis and 1 unit down on y - axis. Connect \(H\) to \(I\).

Step11: Plot Point J

For point \(J(1,-1)\), move 1 unit right on x - axis and 1 unit down on y - axis. Connect \(I\) to \(J\).

Step12: Plot Point K

For point \(K(1,3)\), move 1 unit right on x - axis and 3 units up on y - axis. Connect \(J\) to \(K\).

Step13: Plot Point L

For point \(L(-7,3)\), move 7 units left on x - axis and 3 units up on y - axis. Connect \(K\) to \(L\).

Step14: Plot Point M

For point \(M(-7,2)\), move 7 units left on x - axis and 2 units up on y - axis. Connect \(L\) to \(M\). After connecting all points, the logo (a closed figure, likely a stylized shape) is revealed.

Answer:

After plotting and connecting the points \(A(-7,2)\), \(B(-8,2)\), \(C(-8,4)\), \(D(3,4)\), \(E(3,-2)\), \(F(-2,-2)\), \(G(-2,-7)\), \(H(-3,-7)\), \(I(-3,-1)\), \(J(1,-1)\), \(K(1,3)\), \(L(-7,3)\), \(M(-7,2)\) in order on the coordinate plane (x - axis: \(-10\) to \(10\), y - axis: \(-10\) to \(10\)), the company's logo (a closed polygonal - like shape) is formed.