Find an equation for the line with the given properties.
-Parallel to the line $y = - 3 x$; containing the point $( 7,2 )$
A) $y = - 3 x - 23$
B) $y = - 3 x$
C) $y - 2 = - 3 x - 7$
D) $y = - 3 x + 23$

Question

Quizplus · Accepted Answer

A line parallel to $y = -3x$ has the same slope, $-3$. Using the point-slope form $y - y_1 = m(x - x_1)$ with point $(7, 2)$, we get $y - 2 = -3(x - 7)$, which simplifies to $y = -3x + 21 + 2$, or $y = -3x + 23$.

Find an Equation for the Line with the Given Properties y=−3xy = - 3 xy=−3x

Find an Equation for the Line with the Given Properties $y = - 3 x$