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# Details for problem "Draw a line for a given line equation"

Quickname: 9003

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

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

## Summary

A line equation is given, draw the respective line in a coordinate plane.

## Description

A straight line is to be drawn for a given line equation. If desired, the coordinate system can be specified or a suitable coordinate system will have to be drawn.

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 segment, 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.

In the straight line equation, fractions will regularly occur for m (slope) and b (Y-axis intersection). It is adjustable whether these are represented as fraction or decimal fraction.

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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
Provide square coordinate raster
Yes, No
Provide run and rise as...
fraction, decimal

## Similar problems

Remark
Description
Name and direct link
The other way round, with the line given
For a given straight line on a coordinate plane, the corresponding equation must be specified.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Deutsche Version dieser Aufgabe
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