What line is parallel to 2x-3y=6 and passes through the point (0,3)

The equation is y = 2/3x + 3

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y.

2x - 3y = 6

-3y = -2x + 6

y = 2/3x - 2

This gives us a slope of 2/3. Given that information, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - 3 = 2/3(x - 0)

y - 3 = 2/3x

y = 2/3x + 3

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24