The given line is y= 8x +9. Its slope is 8. The equation of the line is in slope intercept form

Any line which is perpendicular to this line will have a slope of – 1/8, because product of the slopes of two perpendicular lines is always -1.

Since the required line passes through the point (-10,2), its equation the point slope form will be y-2 = -1/8 (x+10). On simplifying it becomes

y= -1/8x -10/8 +2

= -1/8 x – 5/4 +2

= -1/8x +3/4 . This is now in slope intercept form. The y intercept is ¾

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