Answer:
Step-by-step explanation:
System of equations has been given as,
y = [tex]-\frac{1}{2}x+3[/tex] -------(1)
and y = [tex]\frac{1}{2}x-1[/tex] -------(2)
Slope-intercept form of the equation of a line is,
y = mx + b
Here, m = slope of the line
b = y-intercept
By comparing this equation with the given lines,
y-intercepts of the given equations are 3 and -1
For solution of the systems,
[tex]-\frac{1}{2}x+3=\frac{1}{2}x-1[/tex]
[tex]\frac{1}{2}x+\frac{1}{2}x=3+1[/tex]
x = 4
From equation (2),
y = [tex]\frac{1}{2}(4)-1[/tex]
y = 1
Point of intersection of these lines is (4, 1).
Therefore, 4th graph (Extreme last from the left) will be the answer.
