Mathematics: Write the equation of the line that passes through the points (2, 1) and (5, -8)

Write the equation of the line that passes through

sarahhans6711

16.03.2022

The answer is y = -3x + 7.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

y = mx + b

❃Incase you also forgot, what the slope formula is ☟

$m = \frac{y_2 - y_1}{x_2 - x_1}$

➊ First: We are going to be solving for the slope.

$m = \frac{ - 8 - 1}{5 - 2} = \frac{ - 9}{ \: \: \: 3} = - 3$

➋Second: We find the y-intercept.

$y = mx + b \\ 1 = - 3(2) + b \\ 1 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: }{7 = b}$

➌Third: Plug in.

y = - 3x + 7

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