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What is the slope of the line perpendicular to the line on the graph

What is the slope of the line perpendicular to the line on the graph-example-1

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Answer:

2

Explanation:

The slope of a perpendicular line is always the negative reciprocal.

For example, if we have a slope 2/3, the perpendicular lines slope will be -3/2.

If we have slope of -2, the perpendicular lines slope will be 1/2.

The line of the equation we have here is y= -1/2x+5

The y-intercept is 5, and we can find the slope with the 2 points.

To get from the top point to bottom point we go down 2, and to the right 4.

The slope formula is rise over run. The rise is -2, and the run is 4

Therefore the slope is -2/4, simplified is -1/2

To find the perpendicular lines slope we find the negative reciprocal of -1/2, which is 2/1, or 2.

User Ishan Dutta
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