**Finding Equation of Line Worksheet :**

Here we are going to see some practice questions on finding equation of the line.

(1) Find the slope of the straight line

(i) 3x + 4y -6 = 0

(ii) y = 7x + 6

(iii) 4 x = 5y + 3 Solution

(2) Show that the straight lines x + 2 y + 1 = 0 and 3x + 6y + 2 = 0 are parallel Solution

(3) Show that the straight lines 3x – 5y + 7 = 0 and 15 x + 9y + 4 = 0 are perpendicular. Solution

(4) If the straight lines y/2 = x – p and ax + 5 = 3y are parallel, then find a. Solution

(5) Find the value of a if the straight lines 5x – 2y – 9 = 0 and ay + 2x – 11 = 0 are perpendicular to each other.

(6) Find the values of p for which the straight lines 8px + (2-3p)y + 1 = 0 and px + 8y + 7 = 0 are perpendicular to each other. Solution

(7) If the straight lines passing through the points (h,3) and (4,1) intersects the line 7x – 9y – 19 = 0 at right angle,then find the value of h. Solution

(8) Find the equation of the straight line parallel to the line 3x – y + 7 = 0 and passing through the point (1,-2).

(9) Find the equation of the straight line perpendicular to the straight line x – 2y + 3 = 0 and passing through the point (1,-2). Solution

(10) Find the equation of the perpendicular bisector of the straight line segment joining the points (3,4) and (-1,2) Solution

(11) Find the equation of the straight line passing through the point of intersection of the lines 2x+y-3=0 and 5x + y - 6 = 0 and parallel to the line joining the points (1,2) and (2,1) Solution

(12) Find the equation of the straight line which passes through the point of intersection of the straight lines 5x - 6y = 1 and 3x + 2y + 5 = 0 and is perpendicular to the straight line 3x - 5y + 11 = 0. Solution

(13) Find the equation of the straight line joining the point of intersection of the lines 3x – y + 9 = 0 and x + 2y = 4 and the point intersection of the lines 2x + y – 4 = 0 and x – 2y + 3 = 0 Solution

(14) If the vertices of triangle ABC are A (2,-4) ,B(3,3) and C (-1,5). Find the equation of the straight line along the altitude from the vertex B. Solution

(15) If the vertices of triangle ABC are A (-4,4), B(8,4) and C(8,10). Find the equation of the along the median from the vertex A. Solution

(16) Find the coordinates of the foot of the perpendicular from the origin on the straight line 3x + 2 y = 13 Solution

(17) If x + 2y = 7 and 2 x + y = 8 are the equations of the lines of two diameters of a circle,find the radius of the circle if the point (0,-2) lies on the circle. Solution

(18) Find the equation of the straight line segment whose end points are the point of intersection of the straight lines 2x – 3y + 4 = 0,x – 2y + 3 = 0 and the midpoint of the line joining the points (3,-2) and (-5,8). Solution

(19) In an isosceles triangle PQR, PQ = PR. The base QR lies on the x axis, P lies on the y-axis and 2x – 3y + 9 = 0 is an equation of PQ. Find the equation of the straight line along PR. Solution

After having gone through the stuff given above, we hope that the students would have understood, finding equation of line worksheet.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

Widget is loading comments...

You can also visit our following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**