The equation of the lines in the graphs given are:
Graph 1: y = -2x - 4
Graph 2: y = -x + 2
Graph 3: y = 4x - 4
Graph 4: y = x + 2
What is the Equation of the Line?
The equation of a line is given by the general formula:
y = mx + b
Where:
m = slope
b = y-intercept.
Equation of the Line in Graph 1:
Slope = rise/run = -4/2 = -2
b = -4
Equation is: y = -2x - 4
Equation of the Line in Graph 2:
Slope = rise/run = -2/2 = -1
b = 2
Equation is: y = -x + 2
Equation of the Line in Graph 3:
Slope = rise/run = 4/1 = 4
b = -4
Equation is: y = 4x - 4
Equation of the Line in Graph 4:
Slope = rise/run = 2/2 = 1
b = 2
Equation is: y = x + 2