Worksheet on Equation of a Straight Line

Practice the questions given in the worksheet on equation of a straight line.

1. Determine the equation of the straight line whose gradient is  and which intersects the y-axis at a distance of 4 units from the origin.

2. Find the value of k, given that the line \(\frac{y}{2}\) = x – k passes through the point (-4, 4)

3. Find the equation of the straight line which makes an angle 450 with the positive direction of x-axis and intersects the x-axis at a distance of (-3) units from the origin.

4. If the line \(\frac{y}{2}\) = 3x - 6 passes through the point (p, 2p), find the value of p.

5. Determine the equation of the straight line whose inclination is 60° and which passes through the point (3, 4).

6. Find the point midway between the point (-1, 3) and the point intersection of the lines 4x + y - 10= 0 and 2x + 3y - 8 = 0.

7. Find the equation of the straight line which cuts off an intercept (- 4) from the x-axis and passes through the point (2, - 1).

8.  If the slope of the line joining the points (2k, - 2) and (1, - k) be (- 2), find k.

9.  Find the co-ordinates of the point on the line 7x - 6y = 20 for which the ordinate is double the abscissa.

10. A straight line passes through the point (2, 3) and is such that the sum of its intercepts on the coordinate axes is 10. Find the equation of the straight line.

11. Prove that the line lines x - 2 = 0, x + 1 = 0, y = 0 and y - 3 = 0 form a square. Find the equations of its diagonals.

 

Answers for the worksheet on on equation of a straight line are given below:

 

Answers:

1. 3x + 2y = 8

2. k = -6

3. x - y + 3 = 0

4. p = 3

5. y - 4 = √3(x - 3)

6. (\(\frac{3}{5}\), \(\frac{21}{0}\))

7. x + 6y + 4 = 0                 

8. k = \(\frac{4}{5}\)

9.  (- 4, - 8)

10. 3x + 2y = 12 or x + y = 5

11. x + y - 2 = 0 and x - y + 1 = 0

 Equation of a Straight Line







10th Grade Math

From Worksheet on Equation of a Straight Line to HOME


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



Share this page: What’s this?

Recent Articles

  1. Adding 5-digit Numbers with Regrouping | 5-digit Addition |Addition

    Mar 18, 24 02:31 PM

    Adding 5-digit Numbers with Regrouping
    We will learn adding 5-digit numbers with regrouping. We have learnt the addition of 4-digit numbers with regrouping and now in the same way we will do addition of 5-digit numbers with regrouping. We…

    Read More

  2. Adding 4-digit Numbers with Regrouping | 4-digit Addition |Addition

    Mar 18, 24 12:19 PM

    Adding 4-digit Numbers with Regrouping
    We will learn adding 4-digit numbers with regrouping. Addition of 4-digit numbers can be done in the same way as we do addition of smaller numbers. We first arrange the numbers one below the other in…

    Read More

  3. Worksheet on Adding 4-digit Numbers without Regrouping | Answers |Math

    Mar 16, 24 05:02 PM

    Missing Digits in Addition
    In worksheet on adding 4-digit numbers without regrouping we will solve the addition of 4-digit numbers without regrouping or without carrying, 4-digit vertical addition, arrange in columns and add an…

    Read More

  4. Adding 4-digit Numbers without Regrouping | 4-digit Addition |Addition

    Mar 15, 24 04:52 PM

    Adding 4-digit Numbers without Regrouping
    We will learn adding 4-digit numbers without regrouping. We first arrange the numbers one below the other in place value columns and then add the digits under each column as shown in the following exa…

    Read More

  5. Addition of Three 3-Digit Numbers | With and With out Regrouping |Math

    Mar 15, 24 04:33 PM

    Addition of Three 3-Digit Numbers Without Regrouping
    Without regrouping: Adding three 3-digit numbers is same as adding two 3-digit numbers.

    Read More