Aleks blog...so, finding the slope of a line when the equation is given to you:
Notes - Take the equation given, turn into slope intercept for, pull out the slope from equation, that's the answer.
Example: find the slop of the line 4 x +5 y = 3
You start out by converting the equation to slope intercept form, which is y = m x + b. ( m stands for the slope )
4 x + 5 y = 3
5 y = 3 - 4 x
y = ( 3 - 4 x ) / 5
y = ( 3 / 5 ) - ( 4 x / 5 )
y = - ( 4 /5 ) x + ( 3 / 5 )
Now that it is converted into slope intercept form you take ( m ) out of the equation, - ( 4 /5 ), and that's your slope.
So the answer is - ( 4 /5 )
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