Which equation best models the data shown in the scatter plot? In the graph of scatter plot, the range of the x axis is minus four to four by increment of one and the range of the y axis is minus seven to one by increment of one. On the x axis minus four, minus two, two, and four are labeled. On the y axis minus six, minus four, and minus two are labeled. On the graph, there are points at (-0.5, -7), (0, -5), (0.5, -4), (1, -3), (1, -1), and (2, 1).

A. y = x − 3
B. y = x − 5
C. y = 3x − 3
D. y = 3x − 5

The correct option is;

D. y = 3·x - 5

Step-by-step explanation:

From the graph of the scatter plot created with Microsoft Excel, we have that the first and the last point describe a line of best fit, (with trend line equation included) therefore, we have;

The slope = (1 - (-7))/(2 - (-0.5)) = 3.2

Taking the slope of the line of best fit as approximately equal to 3, we have;

3.2 ≈ 3

The equation of the line in point and slope form is therefore;

y - 1 = 3 × (x - 2)

y = 3·x - 6 + 1

∴ y = 3·x - 5

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.