What is the slope and intercept of #x+9y=5#?

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Answer 1 · 2017-01-25T22:56:15

The slope is #color(red)(m = -1/9)#

The y-intercept is #color(blue)(b = 5/9)#

To find the slope and intercept of this equation it must be in the slope-intercept form.

The slope-intercept form of a linear equation is:

#y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

Solving for #y# gives:

#x - color(red)(x) + 9y = - color(red)(x) + 5#

#0 + 9y = -x + 5#

#9y = -x + 5#

#(9y)/color(red)(9) = (-x + 5)/color(red)(9)#

#(color(red)(cancel(color(black)(9)))y)/cancel(color(red)(9)) = -x/9 + 5/9#

#y = color(red)(-1/9)x + color(blue)(5/9)#

The slope is #color(red)(m = -1/9)#

The y-intercept is #color(blue)(b = 5/9)#