Coordinate Geometry Quiz Remedial G9

The equation of a line, l, is y = 3 – x. The line cuts the y-axis at P. Write down the co-ordinates of P.

• (1, 3)
• (0, 0)
• (3, 0)
• (0, 3)

What is the gradient and y-intercept of a line with the following equation?

2y + 6x + 8 = 0

• Gradient: -3, Y-intercept: -4
• Gradient: 2, Y-intercept: 3
• Gradient: -2, Y-intercept: -5
• Gradient: 1, Y-intercept: 0

Point A (5, 6) and point B (1, -2) make up line AB. Find the equation of line AB in the form y = mx + c.

• y = 2x - 4
• y = -2x + 10
• y = 3x - 5
• y = x + 1

Point A (5, 6) and point B (1, -2) make up line AB. Find the coordinates of midpoint of the line AB.

• (3, 2)
• (0, 2)
• (2, 4)
• (4, 2)

Point A (5, 6) and point B (1, -2) make up line AB. Calculate the distance between A and B.

• 3√5
• 4√5
• 10
• 5

The equation of line L is y = 8x – 6. Find the equation of the line parallel to line L that passes through the origin.

• y = -8x + 6
• y = 8x
• y = 8x + 2
• y = 6x

Find the gradient of the line that is perpendicular to the line 5y - 6x + 7 = 0.

Line L passes through the points (1, −2) and (7, 10). Find the equation of the line that is perpendicular to line L and passes through the point (0, 2).

• y = 3x - 1
• y = 2x + 2
• y = -1/2 x + 2

• y = -2x + 5

The coordinates of P are (−2, 9) and the coordinates of Q are (10, −1). Find the equation of the line parallel to PQ that passes through the point (6, −1).

• y = -5/6x + 4
• y = -2x + 1
• y = 4x + 5
• y = 3/5x - 2

The coordinates of P are (−2, 9) and the coordinates of Q are (10, −1). Find the equation of the perpendicular bisector of PQ.

• y = (6/5)x - (4/5)
• y = (1/2)x - 3
• y = (3/4)x + 2
• y = -5x + 1