raquel throws darts at a coordinate grid centered at the origin. her goal is to create a line of darts. her…

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?\no y = 0.6x + 0.6\no y = 0.1x + 0.8\no y = 0.6x + 0.1\no y = 0.5x + 0.6
Answer
Explanation:
Step1: Calculate Σx, Σy, Σxy, Σx²
Σx = (-5)+1+4+(-8)+0+9=1; Σy=0+(-3)+5+(-6)+2+6=4; Σxy=0+(-3)+20+48+0+54=119; Σx²=25+1+16+64+0+81=187
Step2: Compute slope m
m=(6119 -14)/(6*187 -1²)=710/1121≈0.6
Step3: Compute intercept b
b=(4 -0.6*1)/6≈3.4/6≈0.6
Step4: Match with options
m≈0.6, b≈0.6 → y=0.6x+0.6
Answer:
A. y = 0.6x + 0.6