# SLOPE OF THE LINE WORKSHEET FOR GRADE 10

Slope of the Line Worksheet for Grade 10 :

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

## Slope of the Line Worksheet for Grade 10 - Questions

(1)  What is the slope of a line whose inclination with positive direction of x -axis is

(i) 90° (ii) 0     Solution

(2)  What is the inclination of a line whose slope is

(i) 0 (ii) 1    Solution

(3)  Find the slope of a line joining the points

(i) (5, 5) with the origin

(ii) (sin θ, -cos θ) and (-sin θ , cos θ)

(4)  What is the slope of a line perpendicular to the line joining A(5,1) and P where P is the mid-point of the segment joining (4,2) and (-6, 4) .

(5)  Show that the given points are collinear: (-3,-4) , (7,2) and (12, 5)           Solution

(6)  If the three points (3,-1) , (a, 3) and (1,-3) are collinear, find the value of a.

(7)  The line through the points (-2, a) and (9, 3) has slope -1/2. Find the value of a.

(8)  The line through the points (-2,6) and (4,8) is perpendicular to the line through the points (8,12) and (x,24) . Find the value of x.

(9)  Show that the given vertices form a right angled triangle and check whether its satisfies pythagoras theorem

(i) A (1,-4) , B (2,-3) and C (4,-7)      Solution

(ii)  L (0, 5), M (9, 12) and N (3, 14)

(10) Show that the given points form a parallelogram :

A(2.5, 3.5) , B(10,-4), C(2.5,-2.5) and D(-5,5)

Solution

(11)  If the points A(2, 2), B(–2, –3), C(1, –3) and D(x, y) form a parallelogram then find the value of x and y.

(12)  Let A(3, -4), B(9, -4) , C(5, -7) and D(7, -7) . Show that ABCD is a trapezium.         Solution

(13)  A quadrilateral has vertices A(-4,-2) , B(5,-1) , C(6,5) and D(-7,6) . Show that the mid-points of its sides form a parallelogram                       Solution

(14)  PQRS is a rhombus. Its diagonals PR and QS intersect at the point M and satisfy QS = 2PR. If the coordinates of S and M are (1,1) and (2,-1) respectively, find the coordinates of P.           Solution

After having gone through the stuff given above, we hope that the students would have understood, "Slope of the Line Worksheet for Grade 10".

Apart from the stuff given in this section "Slope of the Line Worksheet for Grade 10"if you need any other stuff in math, please use our google custom search here.

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

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