# The line with equation y=3/4x+1 is equivalent to what equation in standard form?

Dec 8, 2016

$4 y - 3 x - 4 = 0$

#### Explanation:

The equation of a line in $\textcolor{b l u e}{\text{standard form}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{A x + B y + C = 0} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

To express $y = \frac{3}{4} x + 1 \text{ in standard form}$

multiply ALL terms on both sides by 4

$\Rightarrow 4 y = {\cancel{4}}^{1} \times \frac{3}{\cancel{4}} ^ 1 x + 4$

$\Rightarrow 4 y = 3 x + 4$

Move terms on right side to the left by subtracting them.

$\Rightarrow 4 y - 3 x - 4 = 0 \leftarrow \text{ in standard form}$