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fa line has the equation 2y=-3x+1. Find an equation of a line parallel to this line that has a y-intercept of -2.

User Tsil
by
8.3k points

1 Answer

3 votes

Answer:

y = -
(3)/(2) x - 2

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

rearrange 2y = - 3x + 1 into this form

divide all terms by 2

y = -
(3)/(2) x +
(1)/(2) ← in slope-intercept form

with m = -
(3)/(2)

• Parallel lines have equal slopes

given y-intercept = - 2 ⇒ c = - 2

y = -
(3)/(2) x - 2 ← equation of parallel line


User JanithaR
by
8.6k points

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