Write the equation for the line of best fit
Replace m and b with the value of the slope and the y-intercept, round each number to the nearest tenth

Given:

The given graph shows the scatter points.

We need to determine the equation for the line of best fit.

Slope of the equation:

From the figure, it is obvious that the slope of the line is

Rounding off to the nearest tenth, we get;

Thus, the slope of the equation is

Value of y - intercept:

From the figure, it is obvious that the y - intercept is

Rounding off to the nearest tenth, we get;

Thus, the y - intercept of the equation is

Equation of the line:

The equation of the line can be determined using the formula,

Substituting and , we get;

Thus, the equation for the line of best fit is

y = 2.3x + 33.2

Step-by-step explanation:

Slope: 2.33

Nearest tenth: 2.3

y-intercept: 33.153

Nearest tenth: 33.2

y = 2.3x + 33.2

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .