Write an equation for the line described. Write the equation in the form specified.
-parallel to $5 x + 2 y = 43$; through $( 5,15 )$; standard form
A) $5 x + 2 y = 55$
B) $5 x + 2 y = 43$
C) $5 x - 2 y = 55$
D) $2 x + 5 y = 15$

Question

Quizplus · Accepted Answer

Lines that are parallel have the same slope, meaning their coefficients for x and y will be the same in standard form. The given line is $5x + 2y = 43$. To find a line parallel to it that passes through (5,15), we substitute x and y into the equation $5x + 2y = C$, where C is a constant we need to find. Substituting (5,15) gives $5(5) + 2(15) = 25 + 30 = 55$, so the equation is $5x + 2y = 55$.

Write an Equation for the Line Described 5x+2y=435 x + 2 y = 435x+2y=43

Write an Equation for the Line Described $5 x + 2 y = 43$