KSSM ADDMATH F4 CHAPTER 6: LINEAR LAW

Convert the following non-linear equation to the linear form, Y=mX+c, based on the given value of Y and X.

 $y=7x-\frac{1}{x}$  (non-linear)

 $Y=xy\ \&\ X=x^2$  

Find the value of m

Convert the following non-linear equation to the linear form, Y=mX+c, based on the given value of Y and X.

 $y=kx^2+px$  (non-linear)

 $Y=\frac{y}{x}\ \&\ X=x^{ }$  

Find the value of c

Convert the following non-linear equation to the linear form, Y=mX+c, based on the given value of Y and X.

 $y=kx^n$  (non-linear)

 $Y=\log_{10}y\ \&\ X=\log_{10}x$  

Find the value of m

Convert the following non-linear equation to the linear form, Y=mX+c, based on the given value of Y and X.

 $y=\frac{p}{q^{\left(x+1\right)}}$  (non-linear)

 $Y=\log_{10}y\ \&\ X=\left(x+1\right)$  

Find the value of c

 $xy=hx^3+kh$  (linear form equation)

Based on the given equation and graph. Find the value of h

•  $\frac{2}{3}$  

•  $\frac{3}{2}$  

•  $\frac{-2}{3}$  

•  $\frac{-3}{2}$  

 $\log_4y=\left(\log_4h\right)x+\log_4k$  (linear form equation)

Based on the given equation and graph. Find the value of k

•  $46$  

•  $64$  

•  $-46$  

•  $-64$  

Based on the given graph, form Y=mX+c (linear form)

• $xy=\frac{1}{2y}+5$

• $xy=\left(5\right)\frac{1}{y}+\frac{1}{2}$

• $\frac{1}{y}=\frac{1}{2}xy+5$

• $\frac{1}{y}=5xy+\frac{1}{2}$

Based on the given graph, form Y=mX+c (linear form)

• $\log_3y=-2\log_3x+4$

• $\log_3y=4\log_3x-2$

• $\log_3x=-2\log_3y+4$

• $\log_3x=4\log_3y-2$