Question

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

Answer 1

The answer is y = -3x + 7.

Explanation:

❃Incase you forgot what the linear equation formula is ☟

`y = mx + b`

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

`m = (y_2 - y_1)/(x_2 - x_1)`

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

`m = ( - 8 - 1)/(5 - 2) = ( - 9)/( \: \: \: 3) = - 3`

➋Second: We find the y-intercept.

`y = mx + b \\ 1 = - 3(2) + b \\ 1 = - 6 + b \\ ( + 6 = + 6 \: \: \: \: \: \: \: \: \: )/(7 = b)`

➌Third: Plug in.

`y = - 3x + 7`