To find the intersection of the lines y = 1/2x + 2 and y = x - 1, set them equal to each other and solve for x. Then, substitute x back into either equation to find y. The intersection point is (6, 5).
The question involves finding the point of intersection for two linear equations: y= 1/2x + 2 and y= x - 1. Each equation represents a straight line, and their general form is y = mx + b, where m is the slope of the line and b is the y-intercept.
To solve this system of equations, we can set the equations equal to each other since they are both equal to y and solve for x. Once we have x, we can substitute it back into either equation to find y.
Step-by-Step Solution:
Step 1: Set the equations equal to each other: 1/2x + 2 = x - 1
Step 2: Rearrange the equation to solve for x: 1/2x - x = -1 - 2
Step 3:Simplify: -1/2x = -3
Step 4: Solve for x: x = 6
Step 5: Substitute x back into the first equation to find y: y = 1/2(6) + 2
Step 6: Calculate y: y = 3 + 2 = 5
The point of intersection is (6, 5).
The probable question may be: "Find the intersection of the lines: y=1/2x+2 and y=x-1"