Question

The slope of the line through the points (-1,4) and (2,6) is 2/3
True or False?

Answer 1

Slope of a line through points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \[m = \frac{y_2-y_1}{x_2-x_1}\]

Answer 2

The difference in the x-coordinates is \(2- (-1) = 3\). Multiply the slope by the difference in the x-coordinates and you should get the difference in the y-coordinates.

Answer 3

(-1,4) and (2,6)
In my head I always say this
I step 3 to the right and 2 upwards.
Upwards is up so it is the nominator
Right has to be the denominator.
slope is 2/3

Answer 4

So it's true. :)

Answer 5

Yes, it is. And we think you should have been able to convince yourself of that :-)

Answer 6

Thank you guys :)