Section 9.5 Final Test

9.5.1 Final Test Module 9

This is a test for submission:

Unlike open exercises, no hints for formulating mathematical expressions are provided.
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The test can be attempted several times. Only the last version will be included in the statistics.

Specify the normal form of the equation of the line

P Q

that passes through the two points

P = (1; 3)

and

Q = (- 1; 7)

.
Answer:

y

=

Let a line be given by the equation

6 x + 2 y = 4

Find the intersection point between the line described by the equation

y = 2 x + 2

and the line described by the equation

2 x = 6

.
Answer: The intersection point is .
Enter the points in the form (a;b).
Tick the possible reasons why the equation of a line

2 x = 6

of the second line cannot be transformed into normal form. (Several statements can be true.)

		The equation of the line cannot be solved for $x$ .
		The equation of the line cannot be solved for $y$ .
		The equation of the line is not cancelled completely.
		The line is parallel to the $x$ -axis.
		The line is parallel to the $y$ -axis.
		The slope of the line is not finite.
		The line does not intersect the $x$ -axis.

Decide which of the following points lie on the circle with the centre

P = (3; - 1)

and a radius of

r = \sqrt{10}

Let a circle be defined by the following equation:

(x - 2)^{2} + (y + 3)^{2} = 9 .

What are the properties of this circle?

The test evaluation will be displayed here!

		There is no intersection point at all.
		There is exactly one intersection point.
		The lines coincide.