SOLUTION: Which equation has a graph that is parallel to the graph of 4x - 2y = 1? Choose one answer. a. y = 2/3x - 2 b. 2x -+ 4y = -1

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Question 461657: Which equation has a graph that is parallel to the graph of 4x - 2y = 1?


Choose one answer. a. y = 2/3x - 2
b. 2x -+ 4y = -1
c. 6x -3y = 9
d. y = -2x + 8

Found 2 solutions by amoresroy, MathLover1:
Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
Which equation has a graph that is parallel to the graph of 4x - 2y = 1?


Choose one answer. a. y = 2/3x - 2
b. 2x -+ 4y = -1
c. 6x -3y = 9
d. y = -2x + 8
4x - 2y = 1
Rearrange to slope intercept form
2y = 4x - 1
y = 2x -1/2
Slope = 2
c. 6x -3y = 9
Rearrange
3y = 6x - 9
y = 2x -3
Slope = 2
Equation c. 6x -3y = 9 has a graph that is parallel to the graph of 4x - 2y = 1.



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
to find out which equation has a graph that is parallel to the graph of 4x+-+2y+=+1, first write this equation in slope-intercept form:
4x+-+2y+=+1...->...4x+-+1+=2y...->...4x%2F2+-+1%2F2+=y...->...2x+-+1%2F2+=y
as you can see, the slope is 2 and a line with same slope will be parallel to this line;
now write all your answer choices in slope-intercept form
a. y+=+2%2F3x+-+2 .......in slope-intercept form
b. 2x+-+4y+=+-1
2x+%2B+1+=4y
2x%2F4+%2B+1%2F4+=y
%281%2F2%29x+%2B+1%2F4+=y...........in slope-intercept form
c. 6x+-3y+=+9+
6x+-9+=+3y+
6x%2F3+-9%2F3+=+y+
2x+-3+=+y+.......in slope-intercept form

d. y+=+-2x+%2B+8..............in slope-intercept form

so, a line with same slope as given line is 6x+-3y+=+9+
and your answer is c.

let's check it on a graph:
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x+-+1%2F2%2C+2x+-3%29+