How do you find the slope and intercept of #-5+y=1/4x#?

2 Answers
Jun 27, 2018

Answer:

See a solution process below:

Explanation:

First, put this equation 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.

#-5 + y = 1/4x#

#-5 + color(blue)(5) + y = 1/4x + color(blue)(5)#

#0 + y = 1/4x + color(blue)(5)#

#y = color(red)(1/4)x + color(blue)(5)#

Therefore,

  • The slope is: #color(red)(m = 1/4)#
  • The #y#-intercept is: #color(blue)(b = 5)# or #(0, color(blue)(5))#
Jun 27, 2018

Answer:

#"slope "=1/4," y-intercept "=5#

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 "-5+y=1/4x" into this form"#

#"add 5 to both sides"#

#y=1/4x+5larrcolor(blue)"in slope-intercept form"#

#"with slope "=1/4" and y-intercept "=5#