The equation in slope intercept form is y = -x+8
Disclaimer!!
The question is incomplete because diagram is missing and the diagram is inserted below
The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable.
The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.
The side that is parallel to BC is EF
We need to find the slope of EF
m = 2-4/6-4
= -2/2
m = -1
Now , put the formula in point-slope form and simplify.
Let's use point F, which is (6,2)
[tex]y-2=-(x-6)\\[/tex]
Simplifying the equation
[tex]y-2 = - x+6[/tex]
[tex]y =-x+6+2[/tex]
[tex]y = -x+8[/tex]
Hence the equation of slope intercept form is y= -x+8
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