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.
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
(0,0) A
(-6,-4) E
(3,2) C
[tex]ac = \frac{2 - 0}{3 - 0} = \frac{2}{3} [/tex]
[tex]ea \frac{ - 4 - 0}{ - 6 - 0} = \frac{ - 4}{ - 6} = \frac{4}{6} = \frac{2}{3} [/tex]
[tex]ac = ea[/tex]
[tex] \frac{2}{3} = \frac{2}{3} [/tex]
Equation,
[tex]y = \frac{2}{3} x[/tex]
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.
