Question

Raquel throws darts at a coordinate grid centered at the origin. Her goal is to create a line of darts. Her darts actually hit the coordinate grid at (–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6). Which equation best approximates the line of best fit of the darts? y = 0. 6x 0. 6 y = 0. 1x 0. 8 y = 0. 8x 0. 1 y = 0. 5x 0. 6.

Answer 1

The equation of line of the darts thrown by Raquel to create a line of darts is represented as,

$y=0.633x+0.561$

What is the equation of line?

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

It can be given as,

$y=mx+c$

Here, (m) is the slope of line and (c) is the y intercept of the line.

Raquel throws darts at a coordinate grid centered at the origin. Here Raquel's goal is to create a line of darts.

The darts hit the coordinate grid at the points t (–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6).

The mean for the values of variable x is,

$M_x=\dfrac{-5+1+4-8+0+9}{6}\\M_x=0.167$

The mean for the values of variable y is,

$M_y=\dfrac{0-3+5-6+2+6}{6}\\M_y=0.667$

By using the regression calculator we get the value of slope of line as, 0.633 and the value of y intercept is 0.561.

Put the values in the equation of line we get,

$y=0.633x+0.561$

Thus, the equation of line of the Raquel throws to create line of darts is,

$y=0.633x+0.561$

Learn more about the equation of line here;

brainly.com/question/13763238