Math Problem Solver

Standard Form:

$$\begin{aligned}Ax + By + C = 0\end{aligned}$$$$\begin{aligned} \text{Slope} &= -\frac{A}{B} \\ -\frac{A}{B} &= \frac{-2}{1} \\ A =& 2, B = 1 \end{aligned}$$$$\begin{aligned}2 x + 1 y + C &= 0 \\ 2(1) + 1(7) + C &= 0 \\ 2 + 7 + C &= 0 \\ 7 + C &= -2 \\ C &= -9 \end{aligned}$$An equation of the line in standard form is: $2 x + y - 9 = 0$.

Slope-Intercept Form:

$$\begin{aligned} y = mx+b\end{aligned}$$$$\begin{aligned}y &= -2x + b \\ 7 &= -2 \times 1 + b \\ 7 &= -2 + b \\ b &= 9 \end{aligned}$$The slope-intercept form of the line is: $y = - 2 x + 9$.