Coordinate Geometry MATHCOUNTS

In the xy-plane, lines a and b intersect at point (5, −2), and lines b and c intersect at point (−3, 3). What is the slope of line b? Express your answer as a common fraction. 

•  $\frac{5}{8}$  

•  $-\frac{5}{8}$  

•  $\frac{1}{2}$  

•  $-\frac{1}{2}$  

Tags

CCSS.HSG.GPE.B.5

Given the points A(−2, 1) and B(3, 4), what are the coordinates of point C in the fourth quadrant such that m<CAB = 90 degrees and AB = AC? Express your answer as an ordered pair.

• (1, -4)

• (-1, 4)

• (-1, -4)

• (4,1)

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

What is the slope of the line that intersects the x-axis at x = 91 and intersects the y-axis at y = 7? Express your answer as a common fraction.

• $\frac{1}{13}$

• 13

• -13

• $-\frac{1}{13}$

Tags

CCSS.HSS.ID.C.7

What is the sum of the coordinates of the x- and y-intercepts of 3x − 2y = 15? Express your answer as a mixed number.

• $-2\ \frac{1}{2}$

• $2\ \frac{1}{2}$

• 2

• -2

Tags

CCSS.HSA.REI.D.11

The function y = 3x + 6 is graphed in the coordinate plane. At what point on the graph is the y-value double the x-value? Express your answer as an ordered pair.

• (6, -12)

• (-6, 12)

• (6, 12)

• (-6, -12)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

What is the area of the triangle DJKL in the coordinate plane with vertices J(−3, 2), K(−1, −2) and L(5, 6)?

• 20 units²

• 22 units²

• 24 units²

• 26 units²

Tags

CCSS.HSG.GPE.B.7

What are the coordinates of point X?

• (5,2)

• (2,3)

• (4,4)

• (6,6)

Tags

CCSS.5.G.A.1

CCSS.5.G.A.2

What is the distance of the point (-3, -4) from x axis 

• 3
• 4
• 7
• 12

Tags

CCSS.HSG.GPE.B.7

The distance between the points A(0 ,6) and B(0 , -2) is _____

• 6
• 4
• 8
• 16

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Mid point of line segment joining points (-2 ,4) and (6, 10) is _____

• (2, 5)
• (2 , 7)
• (3 , 7)
• (3, 8)