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3 votes
Find the slope and y-intercept of the line that is perpendicular to y=-x-3 and passes through the point (3,-2)

*40 points*

2 Answers

6 votes

Answer:

y = x-5

Explanation:

User VenRen
by
5.8k points
6 votes

The given line has a slope of -1.

The slope of a perpendicular line is the negative reciprocal.

The slope of the new line would be positive 1.

Now using the point slope form, use the given pint to find the equation:

y -y1 = m(x -x1)

Replace x1 and y1 with the given point:

y - (-2) = 1(x -3)

Simplify:

y +2 = x -3

Subtract 2 from both sides:

y = x-5

User JuanPablo
by
5.0k points
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