How do you write the equation of the line that passes through (3, 6) and (0, –3) in slope-intercept form?

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Answer 1 · 2018-04-27T13:48:42

#y=3x-3#

The equation for slope-intercept form is as follows:

#y=mx+c# , where #m# is the slope and #c# is the y-intercept

To find #m#, use slope formula,

#m=(y_1-y_2)/(x_1-x_2)#
#color(white)(m)=(6-(-3))/(3-0)#
#color(white)(m)=9/3#
#color(white)(m)=3#

To find #c#, substitute #x=3#, #y=6# and #m=3# into the equation,

#6=3(3)+c#

#c=6-9#
#color(white)(c)=-3#

Since we found #m=3# and #c=-3#, we can form the equation,

#y=3x-3#

:D