Find the slope of the line described by each equation

Question

7x-6y=42

Answer 1

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

Answer 2

How does 7x become -7x

Answer 3

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 -7x = -7x + 42
-6y = -7x + 42
now divide every term by -6
etc

Answer 4

identify the slope and y-intercept of y - 16 = -4x . so is the slope is -4 and y-intercept is 16 correct ?