How do you find the slope and y-intercept of the graph of 2x - 5y= 20?

1 Answer
Mar 3, 2018

Answer:

See a solution process below:

Explanation:

We can convert this equation to 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.

#2x - 5y = 20#

#-color(red)(2x) + 2x - 5y = -color(red)(2x) + 20#

#0 - 5y = -2x + 20#

#-5y = -2x + 20#

#(-5y)/color(red)(-5) = (-2x + 20)/color(red)(-5)#

#(color(red)(cancel(color(black)(-5)))y)/cancel(color(red)(-5)) = (-2x)/color(red)(-5) + 20/color(red)(-5)#

#y = 2/5x + (-4)#

#y = color(red)(2/5)x - color(blue)(4)#

Therefore:

  • The slope is: #color(red)(m = 2/5)#

  • The #y#-intercept is: #color(blue)(-4)# or #(0, color(blue)(-4))#