Determine the criterion of the linear function as appropriate: 1. Which passes through (−1, 8) and is parallel to y = 8x − 5

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Answer to a math question Determine the criterion of the linear function as appropriate: 1. Which passes through (−1, 8) and is parallel to y = 8x − 5

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92 Answers

1. Identify the slope of the given line

y = 8x - 5

. The slope is

since it's the coefficient of

.
2. Use the point-slope form of a line equation

y - y_1 = m(x - x_1)

where

is the slope and

(x_1, y_1)

is the point through which the line passes.
3. Point given is

(-1, 8)

and

m = 8

.
Substitute into the point-slope form:

y - 8 = 8(x + 1)

4. Distribute and solve for

y - 8 = 8x + 8

y = 8x + 16

5. Therefore, the equation of the line parallel to

y = 8x - 5

passing through

(-1, 8)

is:

y = 8x + 16

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