![asiaemerlle](/avatars/10020.jpg)
asiaemerlle
23.08.2020 •
Mathematics
Manny created a scatter plot and drew a line of best fit, as shown.
720
-18
-16
-14
+12
+10
-6
-2
2.
6
8
10
12
14
16
+++
18 20
What is the equation of the line of best fit that Manny drew?
Solved
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Ответ:
y = 2x + 7
Step-by-step explanation:
Slope Formula:![m=\frac{y_2-y_1}{x_2-x_1}](/tpl/images/0727/9344/ab87e.png)
Slope-Intercept Form: y = mx + b
We are only focusing on the line of best fit.
Step 1: Find 2 coordinates
(0, 7) y-intercept
(2, 11) random
Step 2: Find slope m
m = (11 - 7)/(2 - 0)
m = 4/2
m = 2
y = 2x + b
Step 3: Rewrite linear equation
y = 2x + 7
Ответ:
(2x+33)+(3x+20)=113
2x+33+3x+20=113
Simplify
5x+53=113
Collect like terms
5x=60
Divide by 5 on both sides to isolate x
x=12
Now we have found the value of x, we can find the value of MON.
MON = 2x+33
MON = 2(12)+33
MON = 24+33
MON = 67°