Write an equation of the line that passes through (2,0) and is perpendicular to the line y=-1/7x-3 An equation of the perpendicular line is y=

Step-by-step explanation:

The slope of the given line y=-1/7x-3 is -1/7.  The slope of any 'new' line perpendicular to this given line is the negative reciprocal of the slope of the latter, which in this case is +7.

Use the point-slope formula y - k = m(x - h) with k = 0, h = 2 and m = +7:

y - 0 = 7(x - 2), or

y = 7(x - 2), or

y = 7x - 14

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step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

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