What is the slope of a line parallel to the line whose equation is 5x -2y = 11?

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Answer 1 · 2018-04-27T02:17:41

The slope of the given line and a line parallel to it is #5/2#.

Given:

#5x-2y=11# is the standard form of a linear equation.

A line parallel to this line has the same slope. To determine the slope, solve for #y# to change the equation to slope-intercept form:

#y=mx+b#,

where:

#m# is the slope and #b# is the y-intercept.

#5x-2y=11#

Subtract #5x# from both sides.

#-2y=-5x+11#

Divide both sides by #-2#.

#y=(-5)/(-2)x+11/(-2)#

Simplify.

#y=5/2x-11/2#

The slope of the given line and a line parallel to it is #5/2#.