What is the equation of the line that is parallel to 2x=1-3y and passes through point (9,4)

The equation would be y = -2/3x + 10

Step-by-step explanation:

To find the equation of this new line, we first need to identify the slope of the first line. To do this, we need to solve for slope-intercept form.

2x = 1 - 3y

2x - 1 = -3y

-2/3x + 1/3 = y

In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation -2/3. Since parallel lines have the same slope, our new slope will also be -2/3.

Given that and the point, we can solve for the equation using point-slope form.

y - y1 = m(x - x1)

y - 4 = -2/3(x - 9)

y - 4 = -2/3x + 6

y = -2/3x + 10

900 degrees

step-by-step explanation:

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.