Question11/1 Module 2 Algebra Quiz Assessment ID:2425005731
1. What is the equation in standard form of the line that passes through the point $(6,-1)$ and is parallel to the line represented by $8 x+3 y=15$ ? A. $8 x+3 y=-45$ B. $8 x-3 y=-51$ C. $8 x+3 y=45$ D. $8 x-3 y=51$

Studdy Solution
Convert the equation to standard form.
Start from the equation $y = -\frac{8}{3}x + 15$.
Multiply every term by 3 to eliminate the fraction:
$$3y = -8x + 45$$
Rearrange to get the standard form $Ax + By = C$:
$$8x + 3y = 45$$
The equation of the line in standard form is:
$$8x + 3y = 45$$
This corresponds to option C.