Write an equation of the line satisfying the given conditions. Write the answer in standard form with no
fractional coefficients.
-Passes through $( - 1 , - 4 )$ and is parallel to the line defined by $5 x + 3 y = - 8$
A) $5 x + 3 y = - 1$
B) $5 x + 3 y = - 17$
C) $5 x + 3 y = - 5$
D) $5 x + 3 y = - 4$

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope, meaning the new line will have the same coefficients for $x$ and $y$ as the given line $5x + 3y = -8$. To find the specific line that passes through $(-1, -4)$, substitute these coordinates into the equation $5x + 3y = C$ and solve for $C$: $5(-1) + 3(-4) = -5 - 12 = -17$. Therefore, the equation is $5x + 3y = -17$.

Write an Equation of the Line Satisfying the Given Conditions (−1,−4)( - 1 , - 4 )(−1,−4)

Write an Equation of the Line Satisfying the Given Conditions $( - 1 , - 4 )$