Question

Which of the following equations are linear?

$$\begin{gathered} a.y=6x+8 \\ b.y+7=3x \\ c.y–x=8x^2 \\ d.4y=8 \end{gathered}$$

Short answer

$$\begin{gathered} a.y=6x+8 \\ b.y+7=3x \\ d.4y=8 \end{gathered}$$

Step-by-step solution

Given information

To find the linear equation of the given equations using the equation of straight line,$y=a+bx$

Explanation

From the given options, compare the equation of straight line $y=a+bx$

a.$y=6x+8$satisfies the equation of straight line$a=8,b=6$

b.$y+7=3x$satisfies the equation of straight line$a=-7,b=3$

d. $4y=8$satisfies the equation of straight line $a=\frac{8}{4},b=0$

c. $y–x=8x^2$contains the degree$2$and it does not satisfies the equation of straight line and it is nonlinear.