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Gala2k [10]
2 years ago
13

Need help ASAP

Mathematics
1 answer:
Nastasia [14]2 years ago
4 0

Answer:

y+ 6 = 2 (x-7)

Step-by-step explanation:

1) Lines that are perpendicular have slopes that are opposite reciprocals of each other. y = -1/2x - 8 is in y = mx + b form, in which the number in place of m represents the slope. So, the slope of y = -1/2x - 8 is -1/2. The opposite reciprocal of it would be (remember to flip the fraction and reverse the sign) 2. So, 2 is the slope we need for the answer.

2) When you know a point that the line must pass through and its slope, you can use point-slope form (y-y_1 = m (x - x_1)) to write an equation. x_1 and y_1 represents the x and y values of the point the line intersects, and m represents the slope. So, substitute 2 for m, 7 for x_1, and -6 for y_1.

y-(-6) = 2 (x- 7)\\y + 6 = 2 (x-7)

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