Lines and Angles Worksheets

**Page 3**

21.

What are the $x$ and $y$ - intercepts of the line 5$x$ + 6$y$ - 30 = 0?

a. | - 6, 5 | ||

b. | - 6, - 5 | ||

c. | 6, - 5 | ||

d. | 6, 5 |

5

[Substitute

So,

5(0) + 6

[Substitute

So,

Correct answer : (4)

22.

Find the slope and $y$ - intercept of the line 11$x$ - 10$y$ + 20 = 0.

a. | $\frac{11}{10}$, 2 | ||

b. | $\frac{11}{10}$, - 2 | ||

c. | $\frac{10}{11}$, 2 | ||

d. | $\frac{1}{10}$, 2 |

[Solve for

This equation is in the slope - intercept form,

So the slope of the above line =

Correct answer : (1)

23.

Write the equation of the line having slope 5 and $x$- intercept 4.

a. | 5 $x$ - $y$ - 20 = 0 | ||

b. | 5 $x$ + $y$ + 20 = 0 | ||

c. | 5 $x$ + $y$ - 20 = 0 | ||

d. | 5 $x$ - $y$ + 20 = 0 |

Since the

The equation of the line L is

[Slope- point form.]

5

Correct answer : (1)

24.

Find the equation of line passing through (10, 8) and parallel to line 8$x$ + 9$y$ - 46 = 0.

a. | $x$ + 9$y$ - 152 = 0 | ||

b. | 8$x$ - 9$y$ - 152 = 0 | ||

c. | 8$x$ + 9$y$ - 152 = 0 | ||

d. | 8$x$ + 9$y$ + 152 = 0 |

Let L be the required line parallel to the above line.

Since the slopes of parallel lines are equal, Slope of line L =

Since line L is passing through A(10, 8), the equation of line L is

[Slope -point form of line.]

9

8

Correct answer : (3)

25.

Write the equation of the line passing through (6, 3) and perpendicular to the line 5$x$ + 6$y$ - 38 = 0.

a. | 6$x$ + 5$y$ + 21 = 0 | ||

b. | 6$x$ + 5$y$ - 21 = 0 | ||

c. | 6$x$ - 5$y$ + 21 = 0 | ||

d. | 6$x$ - 5$y$ - 21 = 0 |

[Solve for

On comparing the above line with the slope intercept form

So, slope of given line is

Let L be the required line perpendicular to the given line.

Since product of slopes of perpendicular lines = -1

( slope of line L) × ( slope of line 5

Slope of line L =

Since line L is passing through A(6, 3), the equation of line L is

[Slope - point form of line.]

5

6

Correct answer : (4)