Question

The points A(a,b) and B(b,0) lie on the graph of linear equation y=8x+3. (i) Find the value of `a` and `b`. (ii) Is (2,0) a solution of y = 8x+3?

Answer 1

• firstly put the value of x and y with point,A(a,b) in equation y=8x+3 and then,put the value of x and y with point B(b,0) in equation y=8x+3 made two equation like,
• y=8x+3 put A(a,b)
• b=8a+3-----------(1)
• and then put second value in the same equation y= 8x+3 B(b,0)
• 0=8b+3----------(2)
• now,solve the equation (2)
• 0=8b+3,b= -3/8
• now put the value of b in equation (1)
• b=8a+3
• -3/8=8a+3
• a=-27/64,b=-3/8
• now the second question,
• put the value of x (2)and y (0) in the given equation y= 8x+3
• 0=8(2)+3
• Answer is 19