# Find an equation in standard form of the line passing through (- 3, - 1) with slope 3.

Question
Linear equations and graphs
Find an equation in standard form of the line passing through (- 3, - 1) with slope 3.

2021-02-13
Use the point-slope form of a line: y−y1​=m(x−x1)
Substitute $$\displaystyle{m}=\frac{{3}}{{2}}$$ and (x1,y1)=(−3,−1): $$\displaystyle{y}-{\left(-{1}\right)}=\frac{{3}}{{2}}{\left({x}-{\left(-{3}\right)}\right)}$$
$$\displaystyle{y}+{1}=\frac{{3}}{{2}}{x}+\frac{{9}}{{2}}$$
The standard form of a line is Ax+By=C. Multiply both sides by 2:
PSK2y+2=3x+9
Rearranging,
−7=3x−2y
or
3x−2y=−7

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