How do you find the slope and y intercept of #3x-7y=20#?

2 Answers
May 31, 2018

#"slope "=3/7," y-intercept "=-20/7#

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 "3x-7y=20" into this form"#

#"subtract "3x" from both sides"#

#-7y=-3x+20#

#"divide all terms by "-7#

#y=3/7x-20/7larrcolor(blue)"in slope-intercept form"#

#"with slope "=3/7" and y-intercept "=-20/7#

May 31, 2018

Slope=#3/7#

#y#-intercept: #-20/7#

Explanation:

To find the slope and #y#-intercept, we need to change this equation into slope-intercept form

#y=mx+b#

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

We can start by subtracting #3x# from both sides to get

#-7y=-3x+20#

Lastly, we divide all terms by #-7# to get

#y=3/7x-20/7#

Our #m# in this case is #3/7#. This is the slope.

Our #b# in this case is #-20/7#. This is our #y#-intercept.

Hope this helps!