# EQUATION OF A LINE PRACTICE WORKSHEET

Equation of a Line Practice Worksheet :

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

## Equation of a Line Practice Worksheet - Questions

(1)  Find the equation of a straight line passing through the mid-point of a line segment joining the points (1, -5) , (4, 2) and parallel to :

(i) X axis   (ii) Y axis        Solution

(2)  The equation of a straight line is 2(x −y)+ 5 = 0 . Find its slope, inclination and intercept on the Y axis.

Solution

(3)  Find the equation of a line whose inclination is 30˚ and making an intercept -3 on the Y axis.      Solution

(4)  Find the slope and y intercept of √3x +(1 − √3)y = 3 .

(5)  Find the value of ‘a’, if the line through (–2, 3) and (8, 5) is perpendicular to y = ax + 2        Solution

(6)  The hill is in the form of a triangle has its foot at (19, 3) . The inclination of the hill to the ground is 45˚. Find the equation of the hill joining the foot and top.

(7)  Find the equation of a line through the given pair of points

(i)  (2, 2/3) and (-1/2, -2)     Solution

(ii) (2, 3) and (-7,-1)        Solution

(8)  A cat is located at the point(-6,-4) in xy plane. A bottle of milk is kept at (5,11). The cat wishes to consume the milk travelling through shortest possible distance. Find the equation of the path it needs to take its milk.

Solution

(9)  Find the equation of the median and altitude of triangle ABC through A where the vertices are A(6,2) , B(-5,-1) and C(1,9)         Solution

(10)  Find the equation of a straight line which has Slope -5/4 and passing through the point (–1, 2).    Solution

(11)  You are downloading a song. The percent y (in decimal form) of mega bytes remaining to get downloaded in x seconds is given by y = −0.1x +1.

(i) graph the equation.

(ii) find the total MB of the song.

(iii) after how many seconds will 75% of the song gets downloaded?

(iv) after how many seconds the song will be downloaded completely?      Solution

(12)  Find the equation of a line whose intercepts on the x and y axes are given below.

(i) 4, –6   (ii)  -5, 3/4            Solution

(13)  Find the intercepts made by the following lines on the coordinate axes.

(i) 3x − 2y − 6 = 0        Solution

(ii) 4x + 3y +12 = 0

(14)  Find the equation of a straight line

(i) passing through (1,-4) and has intercepts which are in the ratio 2 : 5        Solution

(ii) passing through (-8, 4) and making equal intercepts on the coordinate axes            Solution After having gone through the stuff given above, we hope that the students would have understood, "Equation of a Line Practice Worksheet".

Apart from the stuff given in this section "Equation of a Line Practice Worksheet"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

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

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

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

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

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

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

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

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6 