The following table shows several ordered pairs of a function, m(x). x m(x) -1 -1.5 1 1.5 2 3 4 6 Graph m(x) on a coordinate plane to determine whether or not the function represents a direct variation. In complete sentences, describe your conclusion and reasoning. Include your graph in your answer.

The Function represents a direct variation.

Step-by-step explanation:

The graph formed by the the coordinates (-1.-1.5), (1,1.5), (2,3) and (4,6) is shown at the bottom. Consult it for better understanding. As we can see in the graph that the line joining all the points is a straight line with positive slope, it means that if the value of x is increase, the value of m(x) also increases, and the rate of change is linear. Thus, the function represent a direct variation.

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step-by-step explanation:

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.