What is the slope intercept form of the line with a slope of #-5/3 # that passes through # (-3,2) #?

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Answer 1 · 2017-06-06T13:29:10

#y=-##5/3##x-3#

Slope-intercept form is written as #y=mx+c#.

Given the information you provided, we already know the slope/gradient (#m#).

#y=-##5/3##x+c#

Next, we have to find the y-intercept (#c#) by substituting the given point into the equation and solving for #c#.

#2=-##5/3##(-3)+c#
#2=5+c#
#c=-3#

Now that we have the values for the slope/gradient (#m#) and y-intercept (#c#), we can write the equation in slope-intercept form.

#y=-##5/3##x-3#