Question

How do you find $c$in a linear equation?

Answer 1

Definition of the linear equation:

Linear equations are equations having variables with power$1$.

$ax+b=0$is an example of a linear equation with one variable where $x$is the variable, $a$and $b$are real numbers

For finding $c$in a linear equation we should know its representation. The general equation of a straight line is given as:

$\mathit{y}\mathbf{=}\mathit{m}\mathit{x}\mathbf{+}\mathit{c}$

Where,

• $m$is the gradient
• $c$is the intercept on the $y$-axis
• Also, $y=c$is the point where the line cuts $y$-axis.

Therefore, $c$is found by using the above equation.

Example:

The given equation of a line is $6x+2y=4$

$$\begin{gathered} \Rightarrow 2y=-6x+4 \\ \Rightarrow y=-3x+2 \end{gathered}$$

Comparing the given equation with $y=mx+c$, we get

$c=2$