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

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Elliott Rollins

Answered 2022-10-03
Author has **8** answers

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: $m=-\frac{{A}}{{B}}$

$3}x+{2}y={6$

The slope of this line is:

$m=-\frac{{3}}{{2}}$

Therefore, the slope of a parallel line is $-\frac{3}{2}$

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: $m=-\frac{{A}}{{B}}$

$3}x+{2}y={6$

The slope of this line is:

$m=-\frac{{3}}{{2}}$

Therefore, the slope of a parallel line is $-\frac{3}{2}$

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