Find an equation of the the line satisfying the given conditions.
-Through $(4,-2)$; parallel to $4.5 x+7.3 y=32.6$
A) $4.5 x+7.3 y=3.4$
B) $4 x+7.3 y=32.6$
C) $7.3 x+4.5 y=-2$
D) $4.5 x-7.3 y=3.4$

Question

Quizplus · Accepted Answer

The line parallel to $4.5 x + 7.3 y = 32.6$ will have the same coefficients for $x$ and $y$. Using the point $(4, -2)$, substitute into the equation $4.5x + 7.3y = c$ to find $c$. This gives $4.5(4) + 7.3(-2) = c$, which simplifies to $18 - 14.6 = c$, so $c = 3.4$. Thus, the equation is $4.5x + 7.3y = 3.4$.

Find an Equation of the The Line Satisfying the Given (4,−2)(4,-2)(4,−2)

Find an Equation of the The Line Satisfying the Given $(4,-2)$