COORDINATES A1

 

Find n if a line which passes through (-11, -8) and (6,n) has a slope of -¹/17

 

Solution

 

x₁ = -11,  y₁ =-8,  x₂ = 6,  y₂ = n

 

m =  y2 –y1

          x2 – x1

 

 

-1 =  y2 –y1

 17     x2 – x1

 

-1  =   n –(-8)

17      6 –(-11)

 

-1 =   n + 8

 17    6 + 11

 

-1 =   n + 8          

 17      17

 

17(n+8) = -1 x 17

 

7n + 136 = -17

 

7n = -17 - 136

 

7n = -153

 

7n = -153

7         7

 

n = -9

 

 

TRY THIS……………………… 

 

 

Find t if a line which passes through (6, -2) and (-3,t) has a slope of  ¹/9