Question

How do you write an equation of a line with slope $3$ and $y-$intercept $6$?

Answer 1

Write an equation of a line with a given slope and $\mathit{y}\mathbf{-}$intercept.

Given that, alope $m=3$ and $y-$intercept $b=6$

The equation of a line formula is $y=mx+b$. Where $m$ is the slope of the line, $x$ is the integer value and $b$ is the $y$ intercept of the line.

Substitute the given values $m=3$ and $b=6$ in the above line formula:

$$\begin{gathered} y=mx+b \\ \Rightarrow y=3x+6 \end{gathered}$$

Hence, the equation of the line with slope $\mathbf{3}$ and $\mathit{y}\mathbf{-}$intercept $\mathbf{6}$ is $\mathit{y}\mathbf{=}\mathbf{3}\mathit{x}\mathbf{+}\mathbf{6}$.