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INTRODUCTION TO THE SLOPE OF A LINE
Jump right to the exercises!
EXAMPLE:
Consider the equation y = 2x + 3 .
When x is 0, y is 2(0) + 3 = 3.
When x is 1, y is 2(1) + 3 = 5.
Thus, when x changes by 1 (going from 0 to 1 ),
y changes by 2 (going from 3 to 5 ).
Thus, y changes 2 times as fast as x .
So, if x changes by 4 , then y will change by 2(4) = 8 .
Consider the equation y = 3x + 4 .
When x is -2 , y is -2 .
When x is -1 , y is 1 .
Thus, when x changes by 1 , y changes by 3 .
Thus, y changes 3 times as fast as x .
So, if x changes by 2 , then y will change by 6 .