What is the slope and intercept of #y+5=2/3x#?

1 Answer
smendyka
Feb 12, 2017

The slope is #color(red)(m = 2/3)#

The y-intercept is #color(blue)(b = -5)#

Explanation:

We can find the slope and y-intercept by transforming this equation into 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.

Solving for #y# gives:

#y + 5 - color(blue)(5) = 2/3x - color(blue)(5)#

#y + 0 = 2/3x - color(blue)(5)#

#y = color(red)(2/3)x - color(blue)(5)#

Therefore:

The slope is #color(red)(m = 2/3)#

The y-intercept is #color(blue)(b = -5)#

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