Slopes and Equations of Parallel and Perpendicular Lines

Slopes and Equations of Parallel and Perpendicular Lines

Parallel lines will never cross, which means they have the SAME slope.

Perpendicular lines do cross at a 90 degree angle, which means they have opposite reciprocal slopes.

Multiple Choice

What is the slope of a line that is perpendicular to 3x + 5y = 7 ?

• 5/3

• 3/5

• -3/5

• -5/3

Multiple Choice

What is the slope of a line that is parallel to 7x-3y=1 ?

• 7/3

• 3/7

• -3/7

• -7/3

Multiple Choice

Find the slope of line that goes through the points (1,1) and (2,2)

• 1

• -2/3

• 3

• 5/3

Multiple Choice

Write the POINT-SLOPE form equation given that the line has a slope of 1/7 and goes through (-10, -3).

• y + 3 = 1/7(x + 10)

• y - 3 = 1/7(x - 10)

• y - 10 = 1/7(x - 3)

• y + 10 = 1/7(x + 3)

Multiple Choice

Write the POINT-SLOPE form equation given that the line has a slope of -9 and goes through (-1, 5).

• y - 5 = -9(x + 1)

• y + 5 = -9(x - 1)

• y - 1 = -9(x + 5)

• y + 1 = -9(x - 5)

Multiple Choice

Identify the POINT of: y - 6 = -2(x - 1).

• (1, 6)

• (-1, -6)

• (6, 1)

• (-6, -1)

Multiple Choice

Identify the SLOPE of: y + 7 = 3/2(x + 1).

• 3/2

• -3/2

• -2/3

• 2/3

Multiple Choice

Write the equation of a line that goes through the points (1,1) and (4,6).

• y-1=5/3(x-1)

• y-1=3/5(x-1)

• y+1=5/3(x+1)

• y+1=3/5(x+1)

Multiple Choice

Write the equation of the line that goes through the point (5,2) and perpendicular to y = -5x - 3.

• y=(1/5)x+1

• y=(1/5)x+5

• y=(1/5)x+2

• y=(1/5)x+10

Multiple Choice

Write the equation of the line that passes through (5, 2) and parallel to y=-2/5x + 8.

• y = -2/5x + 4

• y = 5/2x+4

• y = -5/2x - 1

• y = 2/5x+4

Multiple Choice

Write the equation of a line through (2, -3) parallel to y = -1/2x + 1.

• y = -1/2x - 2

• y = -1/2x - 1

• y = -2x - 2

• y = 2x - 1

Multiple Choice

Write the equation of a line through (-1, -2) perpendicular to y = 4x.

• y = -1/4 x - 2.25

• y = -4x - 2.25

• y = 3/8 x + 3.125

• y = -3/8 x + 3.125

Multiple Choice

What is the slope-intercept form of the line parallel to the given line and crosses through (0, 2)?

• y=1/2x+2

• y=2x+2

• y=-2x

• y=-2x+2

Multiple Choice

What is the slope-intercept form of the line perpendicular to the given line and crosses through (-1,-4)?

• y=x-3

• y=-x-3

• y=x+3

• y=-x+3

Multiple Choice

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

• y – 1= -3/2(x + 3)

• y – 1= -2/3(x + 3)

• y – 1=2/3(x + 3)

• y – 1=3/2(x + 3)

Multiple Choice

What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?

• y = –1/4x + 33

• y = –1/4x + 36

• y = 4x - 16

• y = 4x + 16

Multiple Choice

What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

• y = – 5/2x – 1

• y = – 5/2x + 5

• y = 2/5x – 1

• y = 2/5x + 5

Multiple Choice

A given line has the equation 10x+2y=−2 .

What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)?

• y =−5x+12

• y = 5x+12

• y =−5x - 1

• y = 5x - 1

Multiple Choice

The given line segment has a midpoint at (−1, −2). What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

• y = −4x − 4

• y = −4x − 6

• y = 1/4x − 4

• y = 1/4x − 6

Multiple Choice

What is the equation of the line that is perpendicular to and has the same y-intercept as the given line?

• y = 5x + 1

• y = 5x + 5

• y = 1/5x + 1

• y = 1/5x + 5