similar triangles ABE and BCD are shown on the coordinate plane. line t passes through points A, B, and C write equation for t
![similar triangles ABE and BCD are shown on the coordinate plane line t passes through points A B and C write equation for t class=](https://us-static.z-dn.net/files/dbe/fefb6b1e7e6eeeaa7daf4a7b629f10a8.png)
Answer:
[tex] y = \frac{2}{3}x + 1 [/tex]
Step-by-step explanation:
First, find the slope, m, and y-intercept, b, of line t.
Slope (m) = CD/BD
Slope (m) = 4/6 = ⅔
y-intercept is y = 1. This is where the line intercepts the y-axis. So, b = 1.
Substitute m = ⅔, and b = 1, in [tex] y = mx + b [/tex].
Thus, the equation for line t would be:
[tex] y = \frac{2}{3}x + 1 [/tex]