How do you find the slope and intercept of #y=(5-x)/10#?

2 Answers
Mar 10, 2018

See a solution process below

Explanation:

Rewrite the equation in 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.

#y = (5 - x)/10#

#y = 5/10 - x/10#

#y = 1/2 - 1/10x#

#y = color(red)(-1/10)x + color(blue)(1/2)#

Therefore:

  • The Slope Is : #color(red)(m = -1/10)#

  • The #y#-intercept Is : #color(blue)(b = 1/2)# or #(0, color(blue)(1/2))#

Mar 10, 2018

Slope
#m=-0.1#
Intercept
#c=0.5#

Explanation:

Given:
#y=(5-x)/10#
Simplifying
#y=5/10-x/10#
#y=0.5-0.1x#
Arranging in the form
#y=mx+c#
#y=-0.1x+0.5#
Slope
#m=-0.1#
Intercept
#c=0.5#