Write an equation for the line described. Write the equation in the form specified.
-parallel to $3 x + 8 y = 57$; through $( 3,7 )$; standard form
A) $3 x - 8 y = 65$
B) $8 x + 3 y = 7$
C) $3 x + 8 y = 57$
D) $3 x + 8 y = 65$

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope, meaning the coefficients of $x$ and $y$ in the equation must remain the same. The equation $3x + 8y = 57$ can be used as a basis. To find the equation of the line that passes through $(3,7)$, we substitute these coordinates into the equation $3x + 8y = C$, where $C$ is a constant. Substituting $x = 3$ and $y = 7$, we get $3(3) + 8(7) = 9 + 56 = 65$. Therefore, the equation of the line is $3x + 8y = 65$, which is in standard form.

Write an Equation for the Line Described 3x+8y=573 x + 8 y = 573x+8y=57

Write an Equation for the Line Described $3 x + 8 y = 57$