Add Minds Linear Law

• m=n-1, c=logx
• m=n-1, c=logp
• m=1-n, c=logy
• m=1-n, c=logp

• p=1000, n=5/3
• p=2, n=8/2
• p=0, n=5/3
• p=1000, n=8/2

Variable x and y are related by the equation y^2 = p x^q. When the graph log y against log x is drawn, the resulting straight line has a gradient of -2 and an vertical intercept of 0.5 . Calculate the value of p and of q.

• p=10, q=-3
• p=5, q=1/2
• p=10, q=-4
• p=5, q=-2

Variable x and y are related by the equation y=c/d-x. When the graph y against xy is drawn the resulting line has gradient 0.25 and an intercept on they-axis of 1.25. Calculate the value of c and of d.

• c=5, d=4
• c=6, d=2
• c=1.5, d=1/4
• c=0.75, d=1.67

Reduce non-linear relation, y=p x^n-1, where k and n are constants, to linear equation.  State the gradient and vertical intercept for the linear equation obtained.

• m=n-2, c=log x
• m=n-1, c=log p
• m=n-1, c=log y
• m=n-2, c=log p

The diagram shows a line of best fit by plotting a graph of y^2 against x^1/2. Find the equation of the line of best fit.

• y^3=2x^1/3 / 5+2
• y=2x^2 / 4+2
• y=2x / 5+6
• y^2=2x^1/2 / 5+4