How do you find slope, y intercept and x intercept in an equation y=2x+4?

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Answer 1 · 2017-05-13T14:47:10

See a solution process below:

This equation is 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)(2)x + color(blue)(4)#

Therefore:

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

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

To find the x-intercept, substitute #0# for #y# and solve for #x#:

#y = 2x + 4# becomes:

#0 = 2x + 4#

#0 - color(red)(4) = 2x + 4 - color(red)(4)#

#-color(red)(4) = 2x + 0

#-color(red)(4) = 2x#

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

#-2 = (color(blue)(cancel(color(black)(2)))x)/cancel(color(blue)(2))#

#-2 = x#

#x = -2#

The x-intercept is #x = -2# or #(-2, 0)#