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.
(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.
(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 Solution
(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.
You can also visit the 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
Recent Articles
-
Point Symmetry Worksheet
Jun 05, 20 07:45 PM
Point Symmetry Worksheet
-
Point Symmetry
Jun 05, 20 07:34 PM
Point Symmetry - Concept - Example - Problems with step by step explanation
-
Symmetry
Jun 05, 20 07:18 PM
Symmetry - Concept - Examples
