Find the slope intercept form of the equation that passes through (-8, 4) and perpendicular to the line 8x - 2y= 0
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✮ Given
» point ( -8 , 4 )
» Perpendicular to the line 8x-2y=0
✮ To find
» slope intercept form
✮ Solution
→ Slope intercept form :
y = mx + c
where x , y are the variables
m is the slope
c is the constant.
Given equation : 8x -2y = 0
2y = 8x + 0
here m = 8 ( slope A )
The other line is perpendicular point ( -8,4)
Let the other slope be B.
The slope is negatively inverse to the slope of A ( since its perpendicular )
So , B' slope = - 1/ A = - 1/8
y = mx + c ( -8 , 4 )
4 = (-1/8) *(-8) + c
4 = 1 + c
c = 3
So let us write the slope intercept form ,
y = - 1/8 x + 3
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