Question

graphing on the coordinate plane
a) graph the given points on the coordinate plane.

a) b(-4, 2) b) e(8, 5)

c) g(-5, 5) d) l(8, -4)

e) q(3, -1) f) x(-2, 5)

g) s(4, -6) h) d(2, -2)

i) a(-7, -5) j) m(6, 0)

Explanation:

Step1: Graph Point B(-4, 2)

For the point \( B(-4, 2) \), the x - coordinate is - 4 and the y - coordinate is 2. Start at the origin \((0,0)\), move 4 units to the left along the x - axis (because the x - coordinate is negative) and then 2 units up along the y - axis. Mark this point as B.

Step2: Graph Point E(8, 5)

For the point \( E(8, 5) \), the x - coordinate is 8 and the y - coordinate is 5. Start at the origin, move 8 units to the right along the x - axis and then 5 units up along the y - axis. Mark this point as E.

Step3: Graph Point G(-5, 5)

For the point \( G(-5, 5) \), the x - coordinate is - 5 and the y - coordinate is 5. Start at the origin, move 5 units to the left along the x - axis and then 5 units up along the y - axis. Mark this point as G.

Step4: Graph Point L(8, - 4)

For the point \( L(8, - 4) \), the x - coordinate is 8 and the y - coordinate is - 4. Start at the origin, move 8 units to the right along the x - axis and then 4 units down along the y - axis (because the y - coordinate is negative). Mark this point as L.

Step5: Graph Point Q(3, - 1)

For the point \( Q(3, - 1) \), the x - coordinate is 3 and the y - coordinate is - 1. Start at the origin, move 3 units to the right along the x - axis and then 1 unit down along the y - axis. Mark this point as Q.

Step6: Graph Point X(-2, 5)

For the point \( X(-2, 5) \), the x - coordinate is - 2 and the y - coordinate is 5. Start at the origin, move 2 units to the left along the x - axis and then 5 units up along the y - axis. Mark this point as X.

Step7: Graph Point S(4, - 6)

For the point \( S(4, - 6) \), the x - coordinate is 4 and the y - coordinate is - 6. Start at the origin, move 4 units to the right along the x - axis and then 6 units down along the y - axis. Mark this point as S.

Step8: Graph Point D(2, - 2)

For the point \( D(2, - 2) \), the x - coordinate is 2 and the y - coordinate is - 2. Start at the origin, move 2 units to the right along the x - axis and then 2 units down along the y - axis. Mark this point as D.

Step9: Graph Point A(-7, - 5)

For the point \( A(-7, - 5) \), the x - coordinate is - 7 and the y - coordinate is - 5. Start at the origin, move 7 units to the left along the x - axis and then 5 units down along the y - axis. Mark this point as A.

Step10: Graph Point M(6, 0)

For the point \( M(6, 0) \), the x - coordinate is 6 and the y - coordinate is 0. Start at the origin, move 6 units to the right along the x - axis (since the y - coordinate is 0, the point lies on the x - axis). Mark this point as M.

Answer:

All the points \( B(-4, 2) \), \( E(8, 5) \), \( G(-5, 5) \), \( L(8, - 4) \), \( Q(3, - 1) \), \( X(-2, 5) \), \( S(4, - 6) \), \( D(2, - 2) \), \( A(-7, - 5) \), \( M(6, 0) \) are graphed on the coordinate plane as per the steps above.