What is the slope of #5x + 4y = 8#?

1 Answer
Apr 16, 2018

Answer:

#"slope "=-5/4#

Explanation:

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

#•color(white)(x)y=mx+b#

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

#"rearrange "5x+4y=8" into this form"#

#"subtract 5x from both sides"#

#cancel(5x)cancel(-5x)+4y=-5x+8#

#rArr4y=-5x+8#

#"divide all terms by 4"#

#rArry=-5/4x+2larrcolor(red)"in slope-intercept form"#

#"with slope m "=-5/4#