Asked by Coleson
                Find the slope of the line described by each equation
7x-6y=42
            
        7x-6y=42
Answers
                    Answered by
            Reiny
            
    quick way:
If the line is expressed in the form
Ax + By + C = 0
the slope is -A/B , note the value of C does not enter the picture.
so for 7x - 6y = 42
the slope is -7/(-6) = 7/6
or , by the usual grade 9 way
7x - 6y = 42
-6y = -7x + 42
y = -7x/-6 + 42/-6
y = (7/6)x - 7 ,,,, slope = 7/6
    
If the line is expressed in the form
Ax + By + C = 0
the slope is -A/B , note the value of C does not enter the picture.
so for 7x - 6y = 42
the slope is -7/(-6) = 7/6
or , by the usual grade 9 way
7x - 6y = 42
-6y = -7x + 42
y = -7x/-6 + 42/-6
y = (7/6)x - 7 ,,,, slope = 7/6
                    Answered by
            Coleson
            
    How does 7x become -7x
    
                    Answered by
            Reiny
            
    are you not familar with the basic fundamental rules of solving equations.
I "moved" the +7x from the left side of the equation to the right side of the equation
or
7x - 6y <b>-7x</b> = <b>-7x </b> + 42
-6y = -7x + 42
now divide every term by -6
etc
    
I "moved" the +7x from the left side of the equation to the right side of the equation
or
7x - 6y <b>-7x</b> = <b>-7x </b> + 42
-6y = -7x + 42
now divide every term by -6
etc
                    Answered by
            Thomas
            
    identify the slope and y-intercept of y - 16 = -4x . so is the slope is -4 and y-intercept is 16 correct ?
    
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