Free Printable Coordinate Geometry - Linear Relationships

Worksheets

Coordinate Geometry - Linear Relationships

Total questions: 14

Worksheet time: 1hrs 4mins

Name

Class

Date

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

$y=1.5x+1$

$y=-1.5x-1$

$y=1$

Line L passes through the points

(0, -3) and(6, 9).

(a) Find the equation of line L.

(b) Find the equation of the line that is perpendicular to line L and passes through the point (0, 2).

\left(a\right)\ y=2x-3

\left(b\right)y=-\frac{1}{2}x+2

$\left(a\right)\ y=2x+3\ \ \ \ \$ $\left(b\right)y=-2x+2$

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).

Calculate the length of AC.

12.4

14.2

A is the point (-2, 0) and B is the point (0, 4).

Find the equation of the perpendicular bisector of AB.

(hint : perpendicular pass through midpoints of AB)

$y=0.5x-1.5$

$y=-0.5x+1.5$

$y=0.5x-2$

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

y - 5 = -3(x - 10)

y= -3x + 35

y + 5= -3(x + 10)

y= -3x - 35

How many solutions does this system of equations have?

One Solution

No solution

Infinitely Many Solutions

Two Solutions

How do you show diagonals bisect each other?

Use the distance formula-they would have the same length

Use the midpoint formula-they would be the same

Use the slope formula-they would have opposite reciprocal slopes

Use the slope formula - they would have the same slope

Mykala is training for a half marathon. At the beginning of her training she is able to run two miles without stopping. Her goal is to increase her distance by 3/4 of a mile each week.

4 lines

10.

Mykala is training for a half marathon. At the beginning of her training she is able to run two miles without stopping. Her goal is to increase her distance by 3/4 of a mile each week.

4 lines

11.

Point Y (5, 7) is the midpoint on a segment between Point X (3, -1) and Point Z. What is the coordinate of Point Z?

(2.5, 3)

(7, 15)

(9, 17)

(1, -9)

12.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

(1, 5)

(5, 1)

(0.25, 2)

∅

13.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

yes

14.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

45 minutes

90 minutes
2x + 4y = 315

60 minutes
3x + 4y = 450

30 minutes

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Coordinate Geometry - Linear Relationships

Total questions: 14

Worksheet time: 1hrs 4mins

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