Question 1026613
Problem: Consider the line y = 2x-7


Question: What is the slope of a line parallel to this line? 


Answer: <font color = red>2</font>


Explanation:


The slope of the given line {{{y = 2x-7}}} is m = 2 since this is in the form {{{y = mx+b}}} and m is the slope. Basically it's the number to the left of the 'x'


The slope of ANY line parallel to the given line will also have a slope of 2. 


Rule: Parallel lines have equal slopes


So if the given line has a slope of 2, and any line parallel to it has an equal slope, then that means any line parallel to {{{y = 2x-7}}} will have a slope of 2.


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Problem: Consider the line y = 2x-7


Question: What is the slope of a line perpendicular to this line?


Answer: <font color=red>-1/2</font>


Explanation: 


The slope of the given line is 2. This can be rewritten in fraction form as 2/1 since x/1 = x.


To find the perpendicular slope, you have to flip the fraction and flip the sign


flip the fraction: 2/1 ---> 1/2
flip the sign: +1/2 ----> -1/2


The original slope is 2/1. The perpendicular slope is -1/2
Notice how multiplying the two slopes yields -1
(2/1)*(-1/2) = (2*-1)/(1*2) = -2/2 = -1


Rule: (original slope)*(perpendicular slope) = -1


Note: the original slope cannot be 0