Intersection of lines

CONCEPTS

There are 2 ways to determine how figures intersect

1) set y's equal to one another for the 2 equations to determine the x-point of intersection. Put that x-value back into either equation to determine the y-coordinate of intersection.

2) plot out figures

PRACTICE PROBLEMS

Question 1 What is the intersection point between line 3x + y = 8 and 2x - 3 = y

-- Answer -- (1, 5)

y = -3x + 8 and y = 2x - 3 => -3x + 8 = 2x + 3 => 5x = 5, x = 1

y = -3 * 1 + 8 = 5

(x, y) = (1, 5)

ACT PRACTICE PROBLEMS