Respuesta :

Equation for this line is y = -2x + (-4)

Step-by-step explanation:

Step 1:

Slope intercept equation for a line is of the form y= mx +  b, where m is the slope and b is the y-intercept.

Step 2:

Calculate slope of the given line.

⇒ m = (y2 - y1)/(x2 - x1) = (2 - (-2))/(-3 - (-1)

⇒ m = 4/-2 = -2

Step 3:

Find y-intercept

b = - 4

Step 4:

Substitute values to get equation

⇒ y = -x -4 or y = - (x + 4)