What is the equation of the line that has a slope of #m=2/3# and goes through #(0,5)#?

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Answer 1 · 2017-01-28T16:16:52

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

In this problem we have been given:

The slope of 2/3

And because the #x# value of the point given is #0# we know the #y# value is the y-intercept of #5#

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.

Substituting the values from the problem gives:

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