Math Problem Solver

Slope-Intercept Form:

$$\begin{aligned} y = mx+b\end{aligned}$$$$\begin{aligned}y &= 5x + b \\ -3 &= 5 \times 0 + b \\ -3 &= 0 + b \\ b &= -3 \end{aligned}$$An equation of the line in slope-intercept form is: $y = 5 x - 3$

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Point-Slope Form:

$$\begin{aligned} y - y_{1} = m(x - x_{1}) \end{aligned}$$$$\text{where m } = 5, \text{ } x_{1} = 0, \text{ and } y_{1} = -3$$An equation of the line in point-slope form is: $y + 3 = 5 x$

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Standard Form:

$$\begin{aligned}Ax + By + C = 0\end{aligned}$$$$\begin{aligned} \text{Slope} &= -\frac{A}{B} \\ -\frac{A}{B} &= \frac{5}{1} \\ A = -5, B = 1 \end{aligned}$$$$\begin{aligned}-5 x + 1 y + C &= 0 \\ -5(0) + 1(-3) + C &= 0 \\ 0 + -3 + C &= 0 \\ 0 + C &= 3 \\ C &= 3 \end{aligned}$$An equation of the line in standard form is: $5 x - y - 3 = 0$