The volleyball team at west high school is comparing T-shirt companies where they can purchase their practice shirts. The graph represents the two companies prices. What is the linear equation that represents each T-shirt company?
To determine the linear equation that represents each T-shirt company, we need to identify the slope and y-intercept for each line.
Let's assume that Company A sells their T-shirts for $x per shirt, and Company B sells their T-shirts for $y per shirt.
Based on the given graph, we can find two points for each line, and use them to calculate the slope:
For Company A:
Point 1: (0, 9)
Point 2: (3, 15)
Slope (m) = (y2 - y1) / (x2 - x1)
= (15 - 9) / (3 - 0)
= 6 / 3
= 2
The y-intercept (b) for Company A can be determined by observing the point where the line intersects the y-axis, which is (0, 9).
Therefore, the equation for Company A is y = 2x + 9.
For Company B:
Point 1: (0, 12)
Point 2: (3, 6)
Slope (m) = (y2 - y1) / (x2 - x1)
= (6 - 12) / (3 - 0)
= -6 / 3
= -2
The y-intercept (b) for Company B can be determined by observing the point where the line intersects the y-axis, which is (0, 12).
Therefore, the equation for Company B is y = -2x + 12.