Find the equation of line which is parallel to line 5x+4y=18 and makes an intercept of 2units on the x-axis?

1 Answer
Jim G.
Jul 29, 2018

#y=-5/4x+5/2#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+c#

#"where m is the slope and c the y-intercept"#

#"rearrange "5x+4y=18" into this form"#

#"subtract "5x" from both sides"#

#4y=-5x+18#

#"divide all terms by 4 "#

#y=-5/4x+9/2larrcolor(blue)"in slope-intercept form"#

#"with slope "=-5/4#

#• " Parallel lines have equal slopes"#

#y=-5/4x+clarrcolor(blue)"is the partial equation"#

#"to find c substitute the x-intercept "(2,0)" into the"#
#"partial equation"#

#0=-5/2+crArrc=0+5/2=5/2#

#y=-5/4x+5/2larrcolor(blue)"equation of parallel line"#

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