Wha tis the slope and y-intercept of #7x + y = 3#?

1 Answer
May 15, 2016

The slope #(m)# is #-7#, and the y-intercept #(b)# is #3#.

Explanation:

The slope and y-intercept are parts of the slope-intercept form of a linear equation, #y=mx+b#, where #m# is the slope and #b# is the y-intercept.

In order to convert the standard linear equation #7x+y=3# to slope-intercept form, solve the equation for #y#.

#7x+y=3#

Subtract #7x# from both sides.

#y=3-7x#

Rearrange to slope-intercept form.

#y=-7x+3#

#m=-7#
#b=3#