as to intercept

[seeker]

compare
For the line with equation y=ax+b, ab!=0, the x-intercept is twice the y-intercept.
The slope of the line 1/2

slope can be positive or negative, right?
intercept can be positive or negative? or, does it just means an "absolute value"?
I think the anwer is: the slope = -1/2
isnt' it?

I'm new! Be nice to me!

[Scheel]

Originally posted by seeker

compare
For the line with equation y=ax+b, ab!=0, the x-intercept is twice the y-intercept.

The x-intercept is twice the y-intercept: So they must have the same sign. That is: eighther both are positive or both are negative.
This means that slope is negative, and thereby definitly smaller than 1/2.
And you are right that in this case the slope is -1/2

[seeker]

tks!

[rum]

Please clarify bolded part.


The x-intercept is twice the y-intercept: So they must have the same sign. That is: eighther both are positive or both are negative.
This means that slope is negative, and thereby definitly smaller than 1/2.
And you are right that in this case the slope is -1/2

[bragss2]

Insight:
Pls note that "Slope" in trignometry terms mean tan (thita)= Sin thita/Cos thita = y/x when c=o in the eqn y=mx + c, meaning when the line passes through (0,0)
x intercept is the numeric value of x when y=0 in the line eqn y=mx+c. This is the point where the line cuts the x-axis
Similarly
y intercept is the numeric value of y when x=0 in the line eqn y=mx+c. This is the point where the line cuts the y-axis.
Hope I am making it little clear.