Geometry math question no guessing and show work

2x - y = 7

y = 2x - 7 this line has slope = 2

Perpendicular lines, slope is opposite and reciprocal so slope = -1/2

Answer

A . -1/2

2x - y = 7

Put this equation in slope intercept form, y = mx + b.

Solve for y by subtracting 2x from both sides.

- y = 7 - 2x

Divide both sides by -1.

y = -7 + 2x

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Perpendicular lines have opposite reciprocal slopes, so flip the slope of the line and change the sign.

The slope of this line: y = -7 + 2x is 2, so find the reciprocal and add a negative sign.

2 becomes -1/2, so your answer is:

A) -1/2

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