equations of a line that is parallel to the line with equation y = 2x + 1 are
[tex]y=2x-8 \; and \; -2x+y=2[/tex]
Options A and D
Given :
The equation of a parallel line [tex]y=2x+1[/tex]
The given equation is in the form of y=mx+b
where m is the slope
Slope of parallel lines are same .
Slope of given line is 2.
Lets check whether the slope of all lines given in the options are equal to 2
[tex]y= 2x - 8\\slope =2\\\\y=-2x + 1\\slope =-2\\\\2x + y=7\\y=-2x+7\\slope =-2\\\\-2x + y = 2\\y=2x+2\\slope =2\\\\-2x - y=9\\-y=2x+9\\y=-2x-9\\slope =-2[/tex]
Equations A and D have same slope 2
equations of a line that is parallel to the line with equation y = 2x + 1 are
[tex]y=2x-8 \; and \; -2x+y=2[/tex]
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