Question

Which graph represents the solution say to the system of equations

Answer 1

Explanation:

System of equations has been given as,

y =
`-(1)/(2)x+3` -------(1)

and y =
`(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,

`-(1)/(2)x+3=(1)/(2)x-1`

`(1)/(2)x+(1)/(2)x=3+1`

x = 4

From equation (2),

y =
`(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.