straight line equation

leon2835

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A straight line has an equation ax + by + c =0, where a, b and c are three different element from the set { -3, -2, -1, 0, 1, 2, 3}, if the gradient of the line is a non-negative value, find the number of straight lines that fulfill the above conditions
 
A straight line has an equation ax + by + c =0, where a, b and c are three different element from the set { -3, -2, -1, 0, 1, 2, 3}, if the gradient of the line is a non-negative value, find the number of straight lines that fulfill the above conditions
We need to see your work to know where you are stuck.

How many choices for a? Is it allowed to be zero? Why or why not?

What choices are available for b, depending on what you chose for a?
 
We need to see your work to know where you are stuck.

How many choices for a? Is it allowed to be zero? Why or why not?

What choices are available for b, depending on what you chose for a?

Erm.. actualy this is the full question... but i cant understand and how to done this question
 
A straight line has an equation ax + by + c =0, where a, b and c are three different element from the set { -3, -2, -1, 0, 1, 2, 3}, if the gradient of the line is a non-negative value, find the number of straight lines that fulfill the above conditions
There are 7 elements in the set { -3, -2, -1, 0, 1, 2, 3}. What does it mean to say that "a" is an element of that set? "b" and "c" are also different elements of the set.

How do you find the slope (also called "gradient") of a line written in this form ("standard" form)? How are your choices of "a" and "b" affected if the gradient has to ve a non-negative value?
 
What does it mean when we say the gradient of a line? This is key to the question.

And if we know the gradient how can we represent that in terms of a, b or c.
 
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