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Complete the equation of the line through $(2,1)$ and $(5,-8)$ . Use exact numbers. $y=$ $\newline$ A) $-3$ x + $7$ $\newline$ B) $-3$ x - $7$ $\newline$ C) $3$ x + $7$ $\newline$ D) $3$ x - $7$

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Find the magnitude of a three-dimensional vector

Full solution

Q. Complete the equation of the line through

(2,1)

and

(5,-8)

. Use exact numbers.

y=

\newline

A)

-3

x +

7

\newline

B)

-3

x -

7

\newline

C)

3

x +

7

\newline

D)

3

x -

7

Find Slope: Find the slope (m) of the line using the formula: $\newline$ $m = \frac{y_2 - y_1}{x_2 - x_1}$ $\newline$ $m = \frac{-8 - 1}{5 - 2}$ $\newline$ $m = \frac{-9}{3}$ $\newline$ $m = -3$
Point-Slope Form: Use the point-slope form of the line equation: $\newline$ $y - y_1 = m(x - x_1)$ $\newline$ $y - 1 = -3(x - 2)$
Simplify Equation: Simplify the equation: $\newline$ $y - 1 = -3x + 6$ $\newline$ $y = -3x + 6 + 1$ $\newline$ $y = -3x + 7$

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