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Home > Maths > Geometry > The straight line part 2

Maths

Geometry

The Straight Line - Test

1.

The lines with equations 2x + 7y = 23 and 2x - y = -1 meet at the point:

2.

The lines with equations 2x + y = -1 and 3x - y = 21 meet at the point:

3.

A line has gradient {4 \over 5}. Which of these represents the perpendicular gradient?

4.

What is the gradient of a line perpendicular to 3y\; - \;4x\; + \;2\; = \;0?

5.

A line with gradient -3 which passes through the point (1, -2) has equation:

6.

A line makes an angle of 60° with the positive direction of the x-axis. What is its gradient?

7.

Find the point of intersection of the lines y\; = \;2x\; + \;3 and y\; = \;5x\; - \;9.

8.

Which of the diagrams below shows three concurrent lines?

Diagram with three lines

9.

What is the equation of the line passing through (-2,1) and (4,3)?

10.

Four points have co-ordinates P(12,5), Q(3,7), R(-1,-1) and S(5,11). Which three points are collinear?