Question

Which graph represents the solution say to the system of equations

Answer 1

Answer:

Step-by-step explanation:

System of equations has been given as,

y = $-\frac{1}{2}x+3$ -------(1)

and y = $\frac{1}{2}x-1$ -------(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,

$-\frac{1}{2}x+3=\frac{1}{2}x-1$

$\frac{1}{2}x+\frac{1}{2}x=3+1$

x = 4

From equation (2),

y = $\frac{1}{2}(4)-1$

y = 1

Point of intersection of these lines is (4, 1).

Therefore, 4th graph (Extreme last from the left) will be the answer.