Everything Maths Grade 10

Step 2: Assign values to(x 1 ;y 1 )and(x 2 ;y 2 ) Let the coordinates ofSbe(x 1 ;y 1 )and the coordinates ofTbe(x 2 ;y 2 ). x 1 ...

Step 2: Assign values to(x 1 ;y 1 )and(x 2 ;y 2 ) Let the coordinates ofRbe(x 1 ;y 1 )and the coordinates ofSbe(x 2 ;y 2 ). x 1 ...

Exercise 8 – 2: 1.You are given the following diagram: 3 2 1 1 2 4 3 2 1 1 2 3 4 A(1;3) B(2; 3) x y Calculate the length ...

4.The following picture shows two points on the Cartesian plane,AandB. 4 3 2 1 1 2 3 2 1 1 2 3 4 A(1;y) B(3;2,5) x y The ...

To derive the formula for gradient, we consider any right- angled triangle formed fromA(x 1 ;y 1 )andB(x 2 ;y 2 )with hypotenuse ...

Step 2: Assign values to(x 1 ;y 1 )and(x 2 ;y 2 ) Let the coordinates ofEbe(x 1 ;y 1 )and the coordinates ofFbe(x 2 ;y 2 ). x 1 ...

Step 2: Assign values to(x 1 ;y 1 )and(x 2 ;y 2 ) Let the coordinates ofGbe(x 1 ;y 1 )and the coordinates ofHbe(x 2 ;y 2 ) x 1 = ...

3.Calculate the gradient (m) of lineABin the following diagram: 3 2 1 1 2 2 1 1 2 3 4 A(2;R,8) B(1; 3) x y 4.If the gradien ...

You are also told that lineABhas a gradient (m) of1,5. Calculate the missing co-ordinate of pointB. For more exercises, visit ht ...

SOLUTION Step 1: Draw a sketch 6 4 2 2 4 6 6 4 2 2 4 6 P(1;5) Q(5; 4) x y Step 2: Assign values Let the coordinates ofPbe( ...

Parallel and perpendicular lines EMA6D Two lines that run parallel to each other are always the same distance apart and have equ ...

Step 4: Check that the equation ofCDis in the standard formy=mx+c 2 xy= 2 y= 2x 2 )mCD= 2 Step 5: Write the final answer mAB=mCD ...

Step 3: Substitute values and solve fory 6 (3) 2 2  y 3 7 4 = 1 9 4  y 3 3 = 1 y 3 3 = 1  4 9 y 3 3 = 4 9 y3 = 4 9  3 y ...

Worked example 8: Points on a line QUESTION Prove thatA(3; 3),B(0; 5)andC(3; 7)are on a straight line. SOLUTION Step 1: Draw a s ...

Worked example 9: Points on a straight line QUESTION Prove thatA(3; 3),B(0; 5)andC(3; 7)are on a straight line. SOLUTION Step 1: ...

2.Determine whether the following points lie on the same straight line: a) E(0; 3),F(2; 5),G(2; 1) b)H(3;5),I(0; 0),J(6; 10) c) ...

You are also told that lineABruns parallel to the following line:y=x5. PointAis at(2;4). Find the equation of the lineAB. 8.You ...

2 1 1 2 3 4 3 2 1 1 2 3 A( 1 ;j,8) B x y The equation of the blue dashed line isy=0,5x0,5. PointAis at( 1 ;3,5). Determine ...

You are also told that lineABhas the following equation:y=0,5x1. Calculate the missing coordinate of pointB. 17.Ais the point(3; ...

To calculate the coordinates of the mid-pointM(x;y)of any line between the pointsA(x 1 ;y 1 )andB(x 2 ;y 2 ), we use the followi ...