How do you write the slope-intercept form of the line with a slope of 1/3 and going through the points (3, 7) and (0, 6)?

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Answer 1 · 2017-01-18T20:40:29

#y = color(red)(1/3)x + color(blue)(6)#

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.

In this problem the slope is given as #color(red)(m = 1/3)#

Also, because the second point has the #x# value of #0# the y value is therefore the #y# intercept or #color(blue)(b = 6)#

Substituting these into the formula gives:

#y = color(red)(1/3)x + color(blue)(6)#