**Equation of the Line Worksheet with Answer :**

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

(1) Find the slope of the following straight lines

(i) 5y −3 = 0 Solution

(ii) 7 x - (3/17) = 0 Solution

(2) Find the slope of the line which is

(i) parallel to y = 0.7x −11 Solution

(ii) perpendicular to the line x = −11 Solution

(3) Check whether the given lines are parallel or perpendicular

(i) (x/3) + (y/4) + (1/7) = 0 and (2x/3) + (y/2) + (1/10) = 0

(ii) 5x + 23y + 14 = 0 and 23x − 5y + 9 = 0

(4) If the straight lines 12y = −(p + 3)x +12 , 12x −7y = 16 are perpendicular then find ‘p’. Solution

(5) Find the equation of a straight line passing through the point P(-5,2) and parallel to the line joining the points Q(3,-2) and R(-5, 4) . Solution

(6) Find the equation of a line passing through (6,–2) and perpendicular to the line joining the points (6,7) and (2,–3). Solution

(7) A(-3, 0) B(10, -2) and C(12, 3) are the vertices of triangle ABC . Find the equation of the altitude through A and B. Solution

(8) Find the equation of the perpendicular bisector of the line joining the points A(-4,2) and B(6,-4). Solution

(9) Find the equation of a straight line through the intersection of lines 7x + 3y = 10, 5x − 4y = 1 and parallel to the line 13x + 5y +12 = 0 Solution

(10) Find the equation of a straight line through the intersection of lines 5x −6y = 2, 3x + 2y = 10 and perpendicular to the line 4x −7y +13 = 0 Solution

(11) Find the equation of a straight line joining the point of intersection of 3x + y + 2 = 0 and x − 2y − 4 = 0 to the point of intersection of 7x − 3y = −12 and 2y = x + 3 Solution

(12) Find the equation of a straight line through the point of intersection of the lines 8x + 3y = 18, 4x + 5y = 9 and bisecting the line segment joining the points (5,–4) and (–7,6). Solution

After having gone through the stuff given above, we hope that the students would have understood, "Equation of the Line Worksheet with Answer".

Apart from the stuff given in this section "Equation of the Line Worksheet with Answer", 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**

**Trigonometry 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**