Write a linear equation with this given information. Passes through (2,6) and parallel to the line 2x-3y=15

y = 2/3x + 14/3

Step-by-step explanation:

2x - 3y = 15

Rewrite in slope-intercept form.

y = 2/3x -5

Using the slope-intercept form, the slope is  2/3

m = 2/3

To find an equation that is parallel to  2x - 3y = 15 the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.

(2,6)

m=2/3

Using the point-slope form  y - y1 = m(x-x1) plug in m= 2/3 , x1 = 2 and y1 = 6

y - 6 = 2/3 * (x - 2)

solve for y

y = 2/3x + 14/3

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

10+4√2 is the answer. i dont have the time to explain.