Question

Find the slope of a line parallel to the line whose equation is 6, x, plus, 3, y, equals, minus, 546x+3y=−54. Fully simplify your answer.

Answer 1

First rewrite in slope-intercept form:
6x + 3y = −54
3y = −6x − 54
y = −2x − 18

The slope is −2, so any line parallel to this one has slope −2.