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This question asks for a line that passes through the point P(– 3, 0), whose slope is m = – 2.
The equation of this line is
[tex]\mathsf{y-y_P=m\cdot (x-x_P)}\quad\longleftarrow\quad\textsf{(point-slope formula)}\\\\
\mathsf{y-0=-2\cdot (x-(-3))}\\\\
\mathsf{y=-2\cdot (x+3)}\\\\\\\
\mathsf{y=-2x-6}\quad\longleftarrow\quad\textsf{(slope-intersect form)}\\\\\\
\mathsf{2x+y=-6}\quad\longleftarrow\quad\textsf{(standard form)}[/tex]
I hope this helps. =)
Tags: point slope intersect line equation analytical geometry linear algebra
