Answer:
The equation of the line is -x + 4y = -8
Explanation:
To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.
m(slope) = (y2 - y1)/(x2 - x1)
m = (1 - -3)/(12 - -4)
m = (1 + 3)/(12 + 4)
m = 4/16
m = 1/4
Now that we have the slope, we can use it and either point in point-slope form and solve for the standard form of the equation.
y - y1 = m(x - x1)
y - 1 = 1/4(x - 12)
y - 1 = 1/4x - 3
-1/4x + y - 1 = -3
-1/4x + y = -2
-x + 4y = -8