Systems of Equations: Lines and Circles

Determine the points of intersection between the line 3x - 4y = 12 and the circle x^2 + y^2 = 16.

• (4, 0) and (-1.12, -3.84)

• (0, 4) and (3.84, -1.12)

• (-3, -4) and (3, 4)

• (2, 2) and (6, 1)

Tags

CCSS.HSA.REI.C.7

Calculate the intersection points of the line y = -2x + 5 and the circle x^2 + y^2 = 36.

• The intersection points are (4.49, -3.98) and (-0.49, 5.98).

• The intersection points are (0.45, 5.2) and (6.4, -1.2).

• The intersection points are (2.5, 3.2) and (-4, 1.23).

• The intersection points are (1, 4) and (-5, 2).

Tags

CCSS.HSA.REI.C.7

Find the points of intersection between the line 2x + y = 7 and the circle x^2 + y^2 = 49.

• (-6.2, -1.56)

• (-5, 2)

• The points of intersection are (0, 7) and (5.6, -4.2).

• (2.4, 5.5)

Tags

CCSS.HSA.REI.C.7

Calculate the points of intersection between the line 4x - 3y = 6 and the circle x^2 + y^2 = 20.

• The points of intersection are (-1, 2) and (1, -2)

• The points of intersection are (3, 4) and (-3, -4)

• The points of intersection are (0, 0) and (4, 3)

• The points of intersection are (-1.62, -4.17) and (3.54, 2.73).

Tags

CCSS.HSA.REI.C.7

Find the intersection points of the line y = -x + 4 and the circle x^2 + y^2 = 10.

• The intersection points are (1, 3) and (3, 1).

• (1, 2) and (2, 1)

• (0, 4) and (4, 0)

• (2, 2) and (4, 0)

Tags

CCSS.HSA.REI.C.7

Find the points of intersection between the line 3x - 2y = 8 and the circle x^2 + y^2 = 13.

• (0, 0) and (-3, 2)

• (-3.42, 1.13) and (-0.27, -3.6)

• (2.67, 3.14) and (5.4, 4.34)

• (1.6, 1.2) and (-4, 3.1)

Tags

CCSS.HSA.REI.C.7

Find the intersection point of the line y = 2x - 3 and the circle x^2 + y^2 = 25.

• (0.954, 4.91)

• (-3.35, -3.71)

• (3.35, 3.71)

• (4, 5)

Tags

CCSS.HSA.REI.C.7

Determine the intersection point of the line y = 3x - 2 and the circle x^2 + y^2 = 9.

• (-1.02, -1.98)

• (2.56, -5.1)

• (-0.327, -2.98)

• (0.45, 3.32)

Tags

CCSS.HSA.REI.C.7

Determine the points of intersection between the line 2x + 5y = 10 and the circle x^2 + y^2 = 29.

• The points of intersection are (4.1, 3.5) and (3.5, 4.3).

• The points of intersection are (0, 5.1) and (5.3, 0).

• The points of intersection are (-4, 3.6) and (5.38, -0.153).

• The points of intersection are (1.78, 2) and (2.43, 1).

Tags

CCSS.HSA.REI.C.7

Calculate the intersection point of the line y = 4x - 1 and the circle x^2 + y^2 = 17.

• (1.23, 3.93)

• (4.56, 8.23)

• (1.3, -3.4)

• (3, -5)

Tags

CCSS.HSA.REI.C.7