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1 Answer

Hi Michelle;
y=5-3x...(2,-4)
The slope of the presented equation is -3.  This is the coefficient of x.  The line perpendicular to such is its negative inverse, 1/3
y=(1/3)x+b
This equation is in the slope-intercept format of...
y=mx+b
m is the slope.
b is the y-intercept, the value of y when x=0.
We can proceed by plugging-in the coordinate provided and thereby establishing b.
Or, we can proceed by using the point-slope formula...
(y-y1)=m(x-x1)
y--4=(1/3)(x-2)
y+4=(1/3)(x-2)
y+4=(1/3)x-(2/3)
y=(1/3)x-(4 2/3)