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Details for problem "Specify equation to straight line"

Quickname: 3090

Suitable for K-12 grades: Grade 6 Grade 7 Grade 8

Elementary School, Primary School, Junior High School, Middle School, High School.

Summary

For a given straight line on a coordinate plane, the corresponding equation must be specified.

Example

For a given straight line on a coordinate plane, the corresponding equation must be specified. (Beispiel für die Lösung)

Description

For a given straight line the equation of the line is to be determined. The straight line is given in a coordinate system, the slope and Y-axis intercept can be read off there.

The straight line equation and the dimensions of the coordinate system are designed in such a way that the straight line can be drawn without particular difficulties. The Y-axis intercept, for example, can be selected to lie on only full or even half coordinate plane squares (vertical divisions). It is preselectable whether the straight line may, may not or even must pass through the origin.

With regard to the coordinate system, it can be set whether only quadrant one is to be swept with positive X and Y coordinates, or also the quadrants containing coordinates with negative signs. The coordinate system can be output in three different sizes.

The slope is always such that a slope triangle would be a maximum of four boxes wide, i.e. would have a divisor of maximum four. It can be limited to only positive or only negative slope, with or without the possibility of a slope of zero.


Topics: Analysis Equations Functions Geometry Rational Numbers

Tags: Coordinate system Multiplication

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Customization options for this problem

Parameter
Possible values
Number of problems
1, 2
Negative quadrants
Yes, No
Through origin
may, always, never
Slope
pos&neg or null, pos&neg not null, positive, negative
Sub-square rises
Yes, No
Size
small, medium, large

Similar problems

Remark
Description
Name and direct link
With hints, fill in missing elements of equation
In a straight line equation for a given line, gaps must be filled in correctly.
The other way round, with a given equation
A line equation is given, draw the respective line in a coordinate plane.
Similar, with a slope triangle given
The slope shall be derived from a straight line with a gradient triangle in the coordinate system.
Draw the slope triangle, the line is given
In a coordinate system with a given straight line a slope triangle is to be drawn.


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Deutsche Version dieser Aufgabe
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