The equation that the given graph of the system of equations solves is: 1/3x + 1 = 2x - 4.
What is the Equation of a Line?
Where m is the slope and b is the y-intercept, the equation of a line in slope-intercept form is expressed as y = mx + b.
Equation of the Blue Line:
Slope (m) = change in y / change in x = 2/1 = 2
y-intercept (b) = -4.
Equation: y = 2x - 4
Equation of the Red Line:
Slope (m) = change in y / change in x = 1/3
y-intercept (b) = 1
Equation: y = 1/3x + 1
The equation that the graph of the systems of equations solve would be: 1/3x + 1 = 2x - 4.
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