What is the slope and intercept of #y-2/7=4x#?

1 Answer
Mar 14, 2018

Answer:

See a solution process below:

Explanation:

First, rewrite this equation as:

#y - 2/7 + color(red)(2/7) = 4x + color(red)(2/7)#

#y - 0 = 4x + 2/7#

#y = 4x + 2/7#

This equation is now 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 = color(red)(4)x + color(blue)(2/7)#

Therefore:

  • The slope is: #color(red)(m = 4)#

  • The #y#-intercept is: #color(blue)(b = 2/7)# or #(0, color(blue)(2/7))#