SOLUTION: Would you pls help me to solve this: Explain whether or not you agree or disagree with the following statement: "Whenever you change the slope of a line, you change the interce

Algebra ->  Graphs -> SOLUTION: Would you pls help me to solve this: Explain whether or not you agree or disagree with the following statement: "Whenever you change the slope of a line, you change the interce      Log On


   

Question 700411: Would you pls help me to solve this:
Explain whether or not you agree or disagree with the following statement:
"Whenever you change the slope of a line, you change the intercepts of that line. It follows, then, that whenever you change intercepts of a line, you change the slope of that line."
Thanks.
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
The slope intercept form of a line, y=mx+b, provides the slope (that's m) and the y-intercept (b, the y value when x = 0).


The question suggests that changing the slope of a line changes the intercepts.


Let's try to disprove that. y=x is a line with slope 1 and y-intercept 0 (y=1z+0). If the slope changes does the intercept change? Not necessarily. y=3x is a line with slope 3, but the y intercept is still 0 (y=3x+0). Changing the slope didn't change the intercepts.


Does changing the intercepts change the slope? Not necessarily. y=3x+2 has a slope=3 and y-intercept =2. Change the intercept with y=3x+3. The slope=3, but the intercept=3. Changing the intercept didn't change the slope.

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