# Find the slope of a line parallel to the graph of each equation 3x + 2y = 6

Damon Vazquez 2022-10-02 Answered
Find the slope of a line parallel to the graph of each equation 3x + 2y = 6
You can still ask an expert for help

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Elliott Rollins
The slope of a parallel line will have the same slope as the original line.
The equation in the problem is in Standard Linear form. The standard form of a linear equation is: Ax+By=C
Where, if at all possible, A, B, and Care integers, and A is non-negative, and, A, B, and C have no common factors other than 1
The slope of an equation in standard form is: $m=-\frac{A}{B}$
$3x+2y=6$
The slope of this line is:
$m=-\frac{3}{2}$
Therefore, the slope of a parallel line is $-\frac{3}{2}$