Question

2. Find the point of intersection by graphing both lines and observing where they intersect.
Y = ½ x - 4
Y = -½ x - 1

Answer 1

To find the point of intersection, we can set the two equations equal to each other and solve for x:

½ x - 4 = -½ x - 1

Add ½ x to both sides:
x - 4 = -1 - ½ x

Add ½ x to both sides again:
1.5 x - 4 = -1

Add 4 to both sides:
1.5 x = 3

Divide both sides by 1.5:
x = 2

Now that we have the x-coordinate, we can substitute it into either equation to find the y-coordinate. Using the first equation:

y = ½(2) - 4
y = 1 - 4
y = -3

Therefore, the point of intersection is (2, -3).