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EastWind [94]
3 years ago
10

Find the slope of the line that is perpendicular to the line graphed in the figure​

Mathematics
1 answer:
Margaret [11]3 years ago
3 0

Answer:

- \frac{1}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = \frac{1-(-4)}{1-0} = \frac{1+4}{1} = 5

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{5}

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