Write an equation for the line described. Write the equation in the form specified.
-parallel to $4 x + 7 y = - 17$; through $( 8 , - 13 )$; standard form
A) $7 x + 4 y = - 13$
B) $4 x - 7 y = - 59$
C) $4 x + 7 y = - 59$
D) $8 x + 7 y = - 17$

Question

Quizplus · Accepted Answer

A line parallel to $4x + 7y = -17$ will have the same coefficients for $x$ and $y$, meaning it will also have a form of $4x + 7y = k$, where $k$ is a constant. To find $k$, substitute the given point $(8, -13)$ into the equation: $4(8) + 7(-13) = 32 - 91 = -59$. Therefore, the equation is $4x + 7y = -59$.

Write an Equation for the Line Described 4x+7y=−174 x + 7 y = - 174x+7y=−17

Write an Equation for the Line Described $4 x + 7 y = - 17$