Write in standard form: a line through the origin with slope 2/3
2 answers:
Answer:
2x - 3y = 0
Step-by-step explanation:
the equation of a line passing through the origin is
y = mx ( m is the slope )
here m = , then
y = x ( multiply through by 3 to clear the fraction )
3y = 2x
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearranging the above equation into this form
2x = 3y ( subtract 3y from both sides )
2x - 3y = 0 ← in standard form
You might be interested in
The sum of the inner angles of any triangle is always 180°, i.e. you have
In the particular case of an equilater triangle, all three angles are the same, so
and the expression becomes
which implies
So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.
Of course, this is equivalent to a clockwise rotation of 120 degrees.
Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)