GEOMETRY OF STRAIGHT LINES

1

What is the equation of a line parallel to y = 3x + 1?

A y = 3x - 4 B y = -3x + 1 C y = (1/3)x + 1 D y = 3

2

Fatima is writing the equation of a line with slope 3 and y-intercept 5. What is the slope-intercept form?

A y = 3x + 5 B y = 5x + 3 C y = 3x - 5 D y = -3x + 5

3

Amina is finding the slope of the line passing through (1, 4) and (5, 4). What is the slope?

A 0 B Undefined C 4 D 1

4

What is the slope of the line parallel to 2x + 3y = 7?

A -2/3 B 2/3 C -3/2 D 3/2

5

Kashif is finding the equation of the line perpendicular to y = 2x + 1 passing through (2, 3). What is the equation?

A y = -1/2 x + 4 B y = 1/2 x + 2 C y = -2x + 7 D y = 2x - 1

6

What is the slope of the line 3x - 6y = 9?

A 1/2 B 2 C -1/2 D -2

7

What is the point-slope form of the line through (3, -2) with slope 4?

A y + 2 = 4(x - 3) B y - 2 = 4(x + 3) C y + 3 = 4(x - 2) D y - 3 = 4(x + 2)

8

What is the slope of the line perpendicular to y = -3x + 4?

A 1/3 B -1/3 C 3 D -3

9

Junaid is writing the equation of a line passing through (1, 2) and (3, 6). What is the equation?

A y = 2x B y = 2x + 1 C y = 3x - 1 D y = x + 1

10

What is the slope of a vertical line?

A Undefined B 0 C 1 D -1

11

Adeel is finding the equation of a line passing through (2, 1) and (2, 5). What is the equation?

A x = 2 B y = 2 C x = 1 D y = 5

12

Find the equation of the line with x-intercept 5 and y-intercept -2.

A x/5 - y/2 = 1 B x/5 + y/2 = 1 C 5x - 2y = 10 D x/5 + y/2 = -1

13

If two lines are parallel, what is true about their slopes?

A They are equal B Their product is -1 C They are negative reciprocals D They are undefined

14

Adnan is finding the slope of a line perpendicular to y = 2x + 1. What is the slope?

A -1/2 B 1/2 C 2 D -2

15

What is the equation of the line with slope -1 and passing through (0, 3)?

A y = -x + 3 B y = x + 3 C y = -x - 3 D y = 3x - 1

16

Aqib is writing the equation of a line with x-intercept 5 and y-intercept -2. What is the equation?

A x/5 + y/(-2) = 1 B x/5 + y/2 = 1 C x/(-2) + y/5 = 1 D x/2 + y/5 = 1

17

What is the point-slope form of a line passing through (x₁, y₁) with slope m?

A y - y₁ = m(x - x₁) B y = mx + c C x/a + y/b = 1 D ax + by + c = 0

18

What is the normal form of the equation of a straight line?

A x cos α + y sin α = p B y = mx + c C x/a + y/b = 1 D ax + by + c = 0

19

Komal is writing the equation of a line with slope 1/2 and passing through (4, 1). What is the equation?

A y = 1/2 x - 1 B y = 1/2 x + 1 C y = 2x - 7 D y = -1/2 x + 3

20

Find the equation of the line passing through (2, 3) and (4, 7).

A y = 2x - 1 B y = x + 1 C y = 2x + 1 D y = 4x - 5

21

What is the slope of a horizontal line?

A 0 B 1 C Undefined D -1

22

What is the slope of the line whose equation is x = 3?

A Undefined B 0 C 1 D 3

23

What is the equation of a line with slope 0 passing through (2, 5)?

A y = 5 B x = 2 C y = 0 D y = 2

24

Saad is writing the equation of a line with slope 0 passing through (3, 7). What is the equation?

A y = 7 B x = 3 C y = 3 D x = 7

25

Farah is finding the equation of the line parallel to y = 3x + 2 passing through (1, 1). What is the equation?

A y = 3x - 2 B y = 3x + 2 C y = -3x + 4 D y = x + 1