Question

Geometry help will give brainliest

Answer 1

Problem 1
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Write an equation for line passing through (8,12) that is perpendicular to 
y = (4/3)x - 5
 
Note:
When two lines are perpendicular, the product of their slopes is -1.

The slope of the given line is 4/3.
Therefore the slope of the perpendicular line is -3/4.
Let the equation of the perpendicular line be
y = -(3/4)x + c
Because the line passes through (8,12), therefore
-(3/4)*8 + c = 12
-6 + c = 12
c = 18
The equation is y = -(3/4)x +18

Answer: $y= -\frac{3}{4} x + 18$

Problem 2
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Write an equation for a line passing through (-30,7) that is perpendicular to
y = -3x - 5.

The perpendicular line will have a slope of 1/3. Let its equation be
y = (1/3)x + c
Because the line passes through (-30,7), therefore
(1/3)*(-30) + c = 7
-10 + c = 7
c = 17
The equation is y = (1/3)x + 17

Answer: $y = \frac{1}{3} x + 17$