How do you find the slope and intercept for #x+10y=7#?

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Answer 1 · 2017-01-08T15:56:54

Convert to slope-intercept form and pull the correct values from this form of the equation. See the full explanation below.

To find the slope and y-intercept we will transform this equation to the slope-intercept form by solving for #y#:

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.

#x + 10y = 7#

#x - color(green)(x) + 10y = - color(green)(x) + 7#

#0 + 10y = - color(green)(x) + 7#

#10y = - color(green)(x) + 7#

#(10y)/color(green)(10) = (-color(green)(x) + 7)/color(green)(10)#

#(color(green)(cancel(color(black)(10)))y)/cancel(color(green)(10)) = -1/10x + 7/10#

#y = color(red)(-1/10)x + color(blue)(7/10)#

The slope is #m = color(red)(-1/10)#

The y-intercept is #b = color(blue)(7/10)#