Question

the line through A (4, 7) with gradient m meets the x-axis at P and the y axis at R the line through B (8,3) with gradient -1/m meets the x-axis at Q and the y-axis at s find the terms of m​

Answer 1

P = ((4m - 7)/m , 0)  &  R = (0 , 7 - 4m)

Step-by-step explanation:

the line through A (4, 7) with gradient m meets the x-axis at P and the y axis at R

Let say Equation of Line  

y = mx + c

=> 7 = 4m + c

=> c = 7 - 4m

y = mx  + 7 - 4m

meets the x-axis at P

=> 0 = mP + 7 - 4m

=> P = (4m - 7)/m

meets y axis at R

=> R = 0 + 7 - 4m

=> R = 7 - 4m

Similarly Solve for others

line through B (8,3) with gradient -1/m meets the x-axis at Q and the y-axis at s

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