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boyakko [2]
3 years ago
8

Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7

x+8 d) y=-1/7x+1
Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0

Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:

-1/7

So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.

7 = -1/7(7) + b

Simplify the right side

7 = -1 + b

Add 1 to both sides

8 = b

The equation of the perpendicular line is:

y = -1/7x + 8

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lys-0071 [83]

The slope-intercept form: y = mx + b

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b - y-intercept

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y = 3/2 x - 3

slope: m = 3/2

y-intercept: b = -3

x-intercept for y = 0. Substitute:

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3/2 x = 3       <em>multiply both sides by 2/3</em>

x = 2

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----------------------------------------------------------------

y = 3/2 x - 3 it's the same function like first function.

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