Posted by **christine** on Monday, August 15, 2011 at 7:42am.

Write a slope-intercept equation of the line whose graph is described

Parallel to the graph of 3x + 2y = 5; y-intercept (0, −1)

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**MathMate**, Monday, August 15, 2011 at 8:46am
The given line is not vertical (coefficient of y is non-zero), so we can find the slope of the given line.

The given line can be re-written in slope intercept form (y on the left) as:

3x+2y=5

y=-1.5x+2.5 ...(1)

Any line parallel to (1) would have the same coefficient of x (-1.5) and the y-intercept (2.5) could vary.

From the y-intercept (-1), we form the required line:

y=-1.5x-1

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