Answer :
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
[tex]y = - 3x - 1[/tex]
EXPLANATION
The given line passes through
(2, -7) and (-1, 2)
We find the slope using the formula,
[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]
[tex]m = \frac{2 - - 7}{ - 1 - 2} [/tex]
[tex]m = \frac{9}{ - 3} = - 3[/tex]
The equation is given by;
[tex]y-y_1=m(x-x_1) [/tex]
We substitute the values to get,
[tex]y - - 7 = - 3(x - 2)[/tex]
Expand:
[tex]y + 7 = - 3x + 6[/tex]
[tex]y = - 3x + 6 - 7[/tex]
[tex]y = - 3x - 1[/tex]