The line a is parallel to line b and the slope of line a is 2. So, the slope of line b is -1/2.
How are parallel straight lines related?
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
Since the given parallel line has equation y = 2x + 2, thus its slope is 2 and thus, the slope of the needed line is 2 too.
Given that line a is parallel to line b and the slope of line a is 2.
Slope tells how vertical a line is.
The more the slope is, the more the line is vertical. When slope is zero, the line is horizontal.
Because the more the height of the line to thee amount we walk or run on the horizontal axis, the more the slope is. Thats why we took difference of horizontal axis in denominator and difference of vertical axis on numerator.
Lines that are parallel have the same slope.
So, the slope of line b is -1/2.
Learn more about parallel lines here:
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