SLOPE OR GRADIENT 1B

Find the c if the slope of a line which passes through (-3, -4) and (c-1,-11) is ^-7/11.

Solution

x₁ = -3,  y₁ =-4,  x₂ = c-1,  y₂ = -11, m=^-7/11.

m = y2 –y1

      x2 – x1

-7 =   -11 –(-4)

11    (c-1) –(-3)

-7 =   -11 + 4            [since –(-4)  becomes  + 4]             

11     c-1 + 3            [since –(-3)  becomes  + 3]                            

-7 =     -7

11     c+ 2

-7(c+2) = 11x-7     [after cross multiplication]

-7c-14 = -77

-7c= -77+14

-7c= -63

-7c= -63

-7     -7

c = 9

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

Find the c if the slope of a line which passes through (7, 3) and (c-3,-9) is ¹²/5.