Answer:
x = -1
Step-by-step explanation:
use distribution
3x + 3 = -2x + 2 - 4
simplify
3x + 3 = -2x - 2
combine like terms
3x + 3 = -2x - 2
-3x -3x
3 = -5x - 2
+2 +2
5 = -5x
/-5 /-5
-1 = x
I would say 2. As the line of best fit is supposed to represent the average of all the data points. It's not nessecarily needed to go through every point.
X = -2/7
5x = 1/2 ( 3x - 2 )
5x = 1.5x - 1
3.5x = -1
x = -2/7
Answer:
The following steps are needed:
1. Find the function of AB with A(-3,2) and B(7,6)
y(AB) = mx + b. Calculate m = (y₂-y₁)/(x₂-x₁) = (6-2)/(7+3) = 4/10 → 2/5
y(AB) = (2/5).x + b. Calculate b; 6 = (2/5).(7) + b and b = 16/5
y(AB) = (2/5).x +16/5
2. calculate the function y(CD) = mx + bWe know already m = -5/2, since CD is perpendicular to AB and hence the product of their slopes = -1
y(CD) = -(5/2).x + b
We also know that y(CD) passes in the middle of AB, then let's calculate the coordinate of C, the midpoint of AB:x=(x₁+x₂)/2 and y=(y₁+y₂)/2)x= (-3+7)/2 and y=(2+6)/2x= 2 and y=4y(CD) = (-5/2).x +b4 = (-5/2).(2)+b and b = 9y(CD) =(-5/2)x + 9
x intercept when y = 0 → 0= (-5/2)x +9 → x= 18/5So x intercept (18/5,0)
So the answer is at point B.
