Coordinate geometry

Lines

Types of exercises: does a point lie on a line, intersection of two lines, how two lines lie relative to each other, parallel line through a point, general form of a line, equation of a line through a point: given gradient or parallel line, angle of inclination of a line.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

How do these two lines lie relative to each other?

y = −x + 7 y = −x + 8

2

What angle does this line make with the positive x-axis?

y = (√3/3)x − 8

3

Does the point lie on this line?

y = 3x − 9, P = (2, −4)

4

Find the equation of this line in slope-intercept form

A line is parallel to the line y = −6x + 9 and passes through the point P = (−2, 6).

5

Give the point where this line meets the y-axis

x − 5y + 5 = 0

6

Give the y-intercept of the line

A line parallel to y = −4x + 6 passes through the point (5, 12). Give the y-intercept of that line.

7

Give the intersection point of the lines

y = −7x + 44 y = 2x − 10

8

How do these two lines lie relative to each other?

y = −5x + 10 5x + y − 5 = 0

9

Which equation describes this line?

A line makes an angle of 150° with the positive x-axis and meets the y-axis at the point (0, 9).

10

Does the point lie on this line?

y = x + 5, P = (1, 15)

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Lines - exercises with solutions (Coordinate geometry) | PhiBoard