Question

What is the equation of the line that passes through (2, -7) and (-1, 2)? y = -3x - 1 y = 3x + 1 y = -x - 1 y = x + 1

Answer 1

Answer:

The answer is y=-3x - 1.

Step-by-step explanation:

There are two ways to find the equation. First is to use the two-point slope form and the second is simply substitution of the given.

We simply substitute our given coordinates to our equation.

(2, - 7) and (-1, 2)

-7 = - 3(2) - 1. 2 =-3(-1) - 1

-7 = - 6 - 1. 2 = 3 - 1

-7=-7. 2 = 2

Thus, points (2,-7) and (-1,2) passes through y = - 3x - 1.

Answer 2

ANSWER

$y = - 3x - 1$

EXPLANATION

The given line passes through

(2, -7) and (-1, 2)

We find the slope using the formula,

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

$m = \frac{2 - - 7}{ - 1 - 2}$

$m = \frac{9}{ - 3} = - 3$

The equation is given by;

$y-y_1=m(x-x_1)$

We substitute the values to get,

$y - - 7 = - 3(x - 2)$

Expand:

$y + 7 = - 3x + 6$

$y = - 3x + 6 - 7$

$y = - 3x - 1$