What are linear equations in two variables?
An example of an AI chatbot conversation about linear equations in two variables.
What are linear equations in two variables?
Linear equations in two variables are equations that can be expressed in the form ax + by = c, where a, b, and c are constants.
Can you give me an example of such an equation?
Sure! An example is 2x + 3y = 6. This represents a straight line on a graph.
How do I graph this equation?
To graph it, you can find the x-intercept and y-intercept. For 2x + 3y = 6, the x-intercept is (3,0) and the y-intercept is (0,2). Plot these points and draw a line through them.
What does the slope of the line represent?
The slope represents the rate of change of y with respect to x. In the equation 2x + 3y = 6, the slope can be found by rearranging it to y = mx + b form.
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