Linear Law

Question 5: Use graph paper to answer this question. Table 1 shows the values of two variables, x and y, obtained from an experiment. The variables x and y are related by the equation y = hkx + 1, where h and k are constants. x 1 2 3 4 5 6 y 4.0 5.7 … Read more

Question 4 The table below shows the corresponding values of two variables, x and y, that are related by the equation y = q x + p q x , where p and q are constants. One of the values of y is incorrectly recorded. (a) Using scale of 2 cm to 5 units on … Read more

Question 3 The table below shows the values of two variables, x and y, obtained from an experiment. The variables x and y are related by the equation a y = b x + 1 , where k and p are constants. (a) Based on the table above, construct a table for the values of … Read more

Question 2 The table below shows the corresponding values of two variables, x and y, that are related by the equation y = 5 h x 2 + k h x , where h and k are constants. (a) Using a scale of 2 cm to 1 unit on the x – axis and 2 … Read more

Question 1 The following table shows the corresponding values of two variables, x and y, that are related by the equation y = p k x , where p and k are constants. (a) Plot log 10 y against x  .  Hence, draw the line of best fit (b) Use your graph in (a) to … Read more

Question 8:The variables x and y are related by the equation y= p 3 x , where k is a constant.  Diagram below shows the straight line graph obtained by plotting log 10 y against x.   Express the equation y= p 3 x in its linear form used to obtain the straight line graph … Read more

Question 6:The variables x and y are related by the equation y=p x 3 , where p is a constant. Find the value of p and n.   Solution:   Question 7:Diagram A shows part of the curve y=a x 2 +bx .  Diagram B shows part of the straight line obtained when the equation … Read more

Question 4:The diagram shows part of the straight line graph obtained by plotting y x against x .Given its original non-linear equation is  y=px+q x 3 2 .  Calculate the values of p and q.Solution:   Question 5:The diagram below shows the graph of the straight line that is related by the equation x y … Read more

Question 1: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.[Note : Reduce No-linear function to linear function] Solution:   Question 2:The diagram shows a line of best fit by plotting a graph of  y 2 against  x … Read more

Examples:Reduce each of the following equations to the linear form. Hence, state the gradient and the Y-intercept of the linear equations in terms of  a and b. (g)  k x 2 + t y 2 = x   (h)  y = x p + q x   (i)  h y = x + k x … Read more