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Write the equation of the line that is parallel to the line 3x − y = −3 and passes through the point (4, −2).
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parallel = same slope.
-y=-3x-3 y=3x+3 So you need slope 3
y-(-2)=3(x-4) Simplify, and you're good to go.
IS THIS CORRECT y = 3x − 6
no, \[\Large -2 \ne 3(4)-6\]
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y= 3x+c solve for c: \[\Large -2= 3(4)+c\]
C=6
\[\Large -2=12+c\] \[\implies \Large -2-12 = +c\]
\[ \LARGE \implies-14=c\] y=3x-14
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