Asked by Help
I need help understanding this and possibly how to do it...
For the equation Ax + By = C (where A, B, C are real numbers) what is the slope (in terms of the traditional y = mx+ b) and state any restrictions.
For the equation Ax + By = C (where A, B, C are real numbers) what is the slope (in terms of the traditional y = mx+ b) and state any restrictions.
Answers
Answered by
Hi
Yeah, same here
Answered by
Reiny
So let's just change Ax + By = C to the form y = mx + b
Ax + By = C
By = -Ax + C
divide each term by B
y = (-A/B)x + C/B
So compare that to y = mx + b
m = -A/B
so I have just developed a quick way to find the slope of any equation in general form
e.g. 7x + 9y = 17
has slpe -A/B = -7/9
e.g. 3x - 5y = 19
slope = -3/-5 = 3/5
Ax + By = C
By = -Ax + C
divide each term by B
y = (-A/B)x + C/B
So compare that to y = mx + b
m = -A/B
so I have just developed a quick way to find the slope of any equation in general form
e.g. 7x + 9y = 17
has slpe -A/B = -7/9
e.g. 3x - 5y = 19
slope = -3/-5 = 3/5
Answered by
Help
Thanks Reiny!! I understand now ! haha
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