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This is the rule to MEMORIZE:
If the straight line is presented by an equation y = ax + b,
then the slope is equal to "a", the coefficient at x.
Now apply this rule to your equations:
a) y = 3x + 2. The coefficient at "x" is 3. Hence, the slope is 3.
b) 3y = -6x + 3.
Divide both side by 3. You will get
y = -2x + 1. The coefficient at "x" is -2. Hence, the slope is -2.
Solved.
The lesson to learn and to memorize from this solution:
If the straight line is presented by an equation y = ax + b,
then the slope is equal to "a", the coefficient at x.