SOLUTION: Hello..... I need help to determine if the graphs of the given equation are parallel. I am going to be honest i dont have a clue on what i am doing
y=4x+3
3y+4x=8
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Question 814435: Hello..... I need help to determine if the graphs of the given equation are parallel. I am going to be honest i dont have a clue on what i am doing
y=4x+3
3y+4x=8
Found 2 solutions by rfer, TimothyLamb:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
y=4x+3
------------
3y+4x=8
3y=-4x+8
y=-4/3x+8/3
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put both in y intercept form, the slopes are different so
they are not parallel.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
put the equation is slope-intercept form: y = mx + b
y = 4x + 3
3y + 4x = 8
---
y = 4x + 3
this equation is already in slope-intercept form: y = mx + b
m = 4
b = 3
---
3y + 4x = 8
this equation is not in slope-intercept form: y = mx + b
(3/3)y + (4/3)x = 8/3
y = (-4/3)x + 8/3
but now it is:
m = -4/3
b = 8/3
---
two lines are parallel only if they have the same slope
---
Answer:
these lines do not have the same slope so they are not parallel
---
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