3E Coordinate Geometry

Given that C(-1, -4) and D(-7, 2), find the gradient of the line CD.

• -1/4

• -1

• 0

• 1

Given A(8, 9) and B(2, 1), find the length of AB.

• 5.29 units

• 9.90 units

• 10 units

• 14.1 units

If the distance between the points (2, –2) and (–1, x) is 5, one of the values of x is

• −2
• 2
• −1
• 1

What is the midpoint between (-4,4) and (-2,2)?

• (3,2)
• (-3,3)
• (4,5)
• (6,7)

Tags

CCSS.HSG.GPE.B.6

For points A (3, -2) and B (1, 6) find:

The coordinates of point C if B is the midpoint of [AC].

• (2, 2)

• (5, 10)

• (-1, 14)

• (-2, 8)

Tags

CCSS.HSG.GPE.B.6

What is the slope of a line parallel to the line 2x - 3y = 11?

• $\frac{2}{3}$

• $\frac{3}{2}$

• $-\frac{2}{3}$

• $-\frac{3}{2}$

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Two lines have gradients, (4/d) and (-2/5).

Find d if the lines are: perpendicular

• d = 5 / 8

• d = 8 / 5

• d = -10

• d = 10

Find the gradient and the y-intercept of the equation:

y = (x+2)/3

(red is the numerator, green is the denominator)

• m = (1/3) , y-intercept: (0, 2/3)

• m = 1 , y-intercept: (0, 2/3)

• m = (1/3) , y-intercept: (0, 2)

• m = 3 , y-intercept: (0, 2/3)

Find the gradient and the y-intercept of the equation:

3x + 2y = 8

• m = (-2/3) , y-intercept: (0, 4)

• m = (-3/2) , y-intercept: (0, 4)

• m = (-3/2) , y-intercept: (4, 0)

• m = (3/2) , y-intercept: (0, 4)

Find the equation of the line in gradient-intercept form (slope-intercept) with a gradient of (3/4) and passing through the point: (3, -1).

• y = (3/4)x + (13/4)

• y = (3/4)x - (13/4)

• y = (3/4)x - 13

• Correct answer, this is not.