Question #41a5a

2 Answers
Mar 14, 2017

#x/(3/5) + y/(3/2) = 1#

Explanation:

#5 x + 2 y =3#

divide with 3,

#5/3 x + 2/3 y = 1#

rearrange the equation,
#x/(3/5) + y/(3/2) = 1#

therefore this equation intercept at #3/5# at x-axis and #3/2# at y-axis respectively

Mar 14, 2017

#y=-5/2x+3/2#

Explanation:

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

#color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))#
where m represents the slope and b, the y-intercept.

#"Rearrange "5x+2y=3" into this form"#

subtract 5x from both sides.

#cancel(5x)cancel(-5x)+2y=-5x+3#

#rArr2y=-5x+3#

divide ALL terms on both sides by 2

#(cancel(2) y)/cancel(2)=-5/2x+3/2#

#rArry=-5/2x+3/2larrcolor(red)" in slope-intercept form"#