The equation of the line is [tex]y = 1/3 (x) - 7/3[/tex]
Using the slope 1/3 and the points (4,-1) to find the y- intercept
y= mx+c
-1= 1/3 (4) + c
-1 = 4/3 +c
-3 = 4 +3c
-7 = 3c
c = -7/3
Write the equation in slope intercept form as :
y = mx+ c
y = 1/3(x) + (-7/3)
[tex]y = 1/3 (x) - 7/3[/tex]
Hence the equation of the line is [tex]y = 1/3 (x) - 7/3[/tex]
Learn more about slope intercept here :
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