Applying Coordinate Geometry

The equation of a straight line is 2y = 3x+4.

Find the gradient of this line.

• 1.5

• 1

• 1.3

Tags

CCSS.8.EE.B.5

The equation of a straight line is 2y = 3x+4.

Find the co-ordinates of the point where the line crosses the y-axis..

• (2, 0)

• (0, 2)

• (0, -2)

A straight line joins the points A (-2, -3) and C (1, 9).

Find the equation of the line AC in the form y = mx + c.

A straight line joins the points A (-2, -3) and C (1, 9).

Find the co-ordinates of the midpoint of AC.

• (-0.5, -3)

• (-0.5, 3)

• (0.5, 3)

Tags

CCSS.HSG.GPE.B.6

A is the point (2, 3) and B is the point (7, -5).

Find the equation of the line through A that is perpendicular to AB.

Give your answer in the form y = mx+c.

P is the point (16, 9) and Q is the point (22, 24). Find the equation of the line perpendicular to PQ that passes through the point (5, 1). Give your answer in the form y = mx+c.

If the points A(x,2) , B(-3,4) and C(7,-5) are collinear then find value of x

• -63

• -62

• -61

• -60

Do the points (3,2), (2,3), (-2,-3) form a triangle?

• YES

• NO

Tags

CCSS.6.G.A.3

Name the type of quadrilateral formed by the points (-1,-2), (1,0), (-1,2) and (-3,0)

• General Quadrilateral

• Square

• Rectangle

• Rhombus

Tags

CCSS.6.G.A.3

If A (5,3), B(11,-5) and P(12,y) are the vertices of a right triangle right angled at P, they y=?

• -2,4

• -2,-4

• 2,-4

• 2,4

Tags

CCSS.HSG.GPE.B.6