SOLUTION: Find the slope of the line that has an equation of 4x - 2y = 6. is the answer ; -2? Find the slope of the line passing through the points (-2, 3) and (-5, 6). is the answer; 7/

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line that has an equation of 4x - 2y = 6. is the answer ; -2? Find the slope of the line passing through the points (-2, 3) and (-5, 6). is the answer; 7/      Log On


   

Question 321318: Find the slope of the line that has an equation of 4x - 2y = 6.
is the answer ; -2?
Find the slope of the line passing through the points (-2, 3) and (-5, 6).
is the answer; 7/3?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

4x-2y=6 Start with the given equation.


-2y=6-4x Subtract 4x from both sides.


-2y=-4x%2B6 Rearrange the terms.


y=%28-4x%2B6%29%2F%28-2%29 Divide both sides by -2 to isolate y.


y=%28%28-4%29%2F%28-2%29%29x%2B%286%29%2F%28-2%29 Break up the fraction.


y=2x-3 Reduce.


So the equation y=2x-3 is now in slope intercept form y=mx%2Bb where the slope is m=2 and the y-intercept is b=-3 note: the y-intercept is the point


So the slope is 2 (instead of -2)

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# 2

Note: is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=3.
Also, is the second point . So this means that x%5B2%5D=-5 and y%5B2%5D=6.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%286-3%29%2F%28-5--2%29 Plug in y%5B2%5D=6, y%5B1%5D=3, x%5B2%5D=-5, and x%5B1%5D=-2


m=%283%29%2F%28-5--2%29 Subtract 3 from 6 to get 3


m=%283%29%2F%28-3%29 Subtract -2 from -5 to get -3


m=-1 Reduce


So the slope of the line that goes through the points and is m=-1