How do you find the slope of a line parallel to the graph of each equation 3x + 2y = 6?

1 Answer
smendyka
Oct 5, 2017

See a solution process below:

Explanation:

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: #color(red)(A)x + color(blue)(B)y = color(green)(C)#

Where, if at all possible, #color(red)(A)#, #color(blue)(B)#, and #color(green)(C)#are 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 = -color(red)(A)/color(blue)(B)#

#color(red)(3)x + color(blue)(2)y = color(green)(6)#

The slope of this line is:

#m = -color(red)(3)/color(blue)(2)#

Therefore, the slope of a parallel line is #-3/2#

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