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Parallel and Perpendicular Slopes

Study Slideshow

What is the perpendicular slope of m = 1/4

m = -4

What is the perpendicular slope of m = -3

m = 1/3

What is the Perpendicular slope of m=3/5

m=-5/3

Write an equation of a parallel line passing through a point.

y-7 = 3(x+4)

Write an equation of a parallel line passing through a point.

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

Write an equation of a perpendicular line passing through a point.

y-8 = 2(x+14)

Write an equation of a perpendicular line passing through a point.

y-13 = -1/5 (x-11)

Are these slopes parallel? perpendicular? or neither?

Parallel

Are these slopes parallel? perpendicular? or neither?

perpendicular

Are these slopes parallel? perpendicular? or neither?

parallel

What do you do to the slope if you are trying to create lines that are perpendicular?

opposite reciprocal; Change the sign, flip the number

Given the line 3x+2y=10, find the y-intercept.

y=5

Given the line 2x-5y=-14, find the x-intercept.

x=-7

What would be the solution of parallel lines?

no solution

How do you know two lines are parallel to each other?

Slopes are the same

Given the line y=-2x+3, what is the y-intercept (starting point)?

3 or (0,3)