SLOPE OR GRADIENT - 2

Find the slope of a line which passes through (7, 13) and (6, 8).

Solution

x₁ = 7,  y₁ =13,  x₂ = 6,  y₂ = 8

m = y2 –y1

     x2 – x1

m =   8 –13

        6 –7

m =   -5

        -1

Hence the slope is 5

TRY THIS...............

 

Find the slope of a line which passes through (1, -6) and (6, 2).

DIFFERENCE OF 2 SQUARES - 2

Evaluate 2357² – 2347²

Solution

2357² – 2347² = (2357 + 2347)( 2357 – 2347)

                     = (4704)( 10)

                     = 47040

Hence 2357² – 2347² = 177040.

TRY THIS…………………

evaluate 8955² – 8945²

LOGARITHMS 1

If Log_ax = ¹/₂  Log_a49+ ¹/₃ Log_a27 find x.

Solution

Log_ax = ¹/₂  Log_a49+ ¹/₃ Log_a27

Log_ax = Log_a49^1/2  +  Log_a27^1/3   

Log_ax = Log_a 7 +  Log_a3

Log_ax = Log_a (7 x 3)

Log_ax = Log_a 21

x = 21.

TRY THIS..........

 
If Log_ax = ¹/₂  Log_a169+ ¹/₃ Log_a64 find x.

ALGEBRA 1

Simplify (m⁶)²

 

solution

= (m⁶)²

=  m^6x2

=  m¹²

TRY THIS…….

Simplify  (h¹⁰)⁷

BINARY OPERATIONS 1

SLOPE OR GRADIENT 1

Find the slope of a line which passes through (10, 4) and (6, 8)

Solution

x₁ = 10,  y₁ =4,  x₂ = 6,  y₂ = 8

m = y2 –y1

      x2 – x1

m =   8 –4

        6 –10

m =   4   = -1

       -4

Hence the slope is -1

TRY THIS………………

Find the slope of a line which passes through (7, 1) and (6, 11)