Question

Which of the following equations represents a line that is parallel to the line with equation
$y=-3x+4$ ?

• A. $6x+2y=15$
• B. $3x-y=7$
• C. $2x-3y=6$
• D. $x+3y=1$

Answer 1

The correct option is A $6x+2y=15$

Given line is $y=-3x+4$

This is slope intercept form of a line where slope of line is $-3$.

Since, two lines are parallel When their slopes are equal.

Slope of line is $6x+2y=15$

$\Rightarrow 2y=-6x+15$

$\Rightarrow y=-3x+\frac{15}{2}$ is equal to $-3$

Option A is correct.