Question

*Please help* (20 POINTS) Hint: Both of the slopes are 2/3

Answer 1

Slope of blue using their 2 points is 4/6 or 2/3

slope of green using their points is 2/3 which is the same as the other triangle.

4/6 = 2/3. and this is true, the slopes are equal

Answer 2

So, on tests they try to trick you saying the slope between two points on a line is different but it is the same where ever you go on the line. They're similar triangles, not different triangles.
$\frac{y2 - y1}{x2 - x1}$
(0,0) A
(-6,-4) E
(3,2) C
$ac = \frac{2 - 0}{3 - 0} = \frac{2}{3}$
$ea \frac{ - 4 - 0}{ - 6 - 0} = \frac{ - 4}{ - 6} = \frac{4}{6} = \frac{2}{3}$
$ac = ea$
$\frac{2}{3} = \frac{2}{3}$
Equation,
$y = \frac{2}{3} x$
Of course it's true. You rise or drop 2 and run over to the right.
It means they're true since anywhere you go on the line your slope is the same.