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OpenStudy (hperez777):
Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2x + y = -5. Include your work in your final answer.
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OpenStudy (hperez777):
@jaelenecastro1998
OpenStudy (sooobored):
parallel lines share the same slope
the slope-intercept form of a line is y=mx+b
where m is the slope and b is the y intercept
OpenStudy (sooobored):
first identify the slope of 2x+y=-5
any ideas?
OpenStudy (hperez777):
-5 ?
OpenStudy (sooobored):
nope
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OpenStudy (hperez777):
no wait 2 right ?
OpenStudy (sooobored):
closer, but no
OpenStudy (hperez777):
-2
OpenStudy (sooobored):
ok, what happens when i subtract -2x from both sides?
or move the 2x from the left side to the right side
OpenStudy (sooobored):
yes the slope is -2
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OpenStudy (sooobored):
so using the information m=-2 and y-intercept = 2
what would the equation of the line be in slope-intercept form?
OpenStudy (hperez777):
y = -2x - 5
OpenStudy (sooobored):
y-intercept is 2
OpenStudy (sooobored):
not -5
OpenStudy (hperez777):
ohhhh
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OpenStudy (hperez777):
y = -2x + 2
OpenStudy (sooobored):
good,
final step, the question is asking for the equation in standard form (Ax+By=C)
what can you do to turn slope-intercept form into standard form?
OpenStudy (hperez777):
add 2x to the right side so its 2x + y = 2
OpenStudy (sooobored):
yup
OpenStudy (hperez777):
thank youuuuu
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OpenStudy (sooobored):
no problem
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