Math Problem Solver

Standard Form:

$$\begin{aligned}Ax + By + C = 0\end{aligned}$$$$\begin{aligned} \text{Slope} &= -\frac{A}{B} \\ -\frac{A}{B} &= \frac{2}{1} \\ A =& -2, B = 1 \end{aligned}$$$$\begin{aligned}-2 x + 1 y + C &= 0 \\ -2(0) + 1(3) + C &= 0 \\ 0 + 3 + C &= 0 \\ 3 + C &= 0 \\ C &= -3 \end{aligned}$$An equation of the line in standard form is: $- 2 x + y - 3 = 0$.

Slope-Intercept Form:

$$\begin{aligned} y = mx+b\end{aligned}$$$$\begin{aligned}y &= 2x + b \\ 3 &= 2 \times 0 + b \\ 3 &= 0 + b \\ b &= 3 \end{aligned}$$The slope-intercept form of the line is: $y = 2 x + 3$.