select the correct answer. brianna created a scatter plot and drew a line of best fit, as shown. what is the…

select the correct answer. brianna created a scatter plot and drew a line of best fit, as shown. what is the equation of the line of best fit that brianna drew? a. $y=\frac{1}{2}x + 5$ b. $y=\frac{1}{2}x + 7$ c. $y = 2x+5$ d. $y = 2x + 7$

select the correct answer. brianna created a scatter plot and drew a line of best fit, as shown. what is the equation of the line of best fit that brianna drew? a. $y=\frac{1}{2}x + 5$ b. $y=\frac{1}{2}x + 7$ c. $y = 2x+5$ d. $y = 2x + 7$

Answer

Answer:

C. $y = 2x+5$

Explanation:

Step1: Find the y - intercept

The line crosses the y - axis at $y = 5$, so the y - intercept $b = 5$.

Step2: Find the slope

Pick two points on the line, say $(0,5)$ and $(1,7)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{7 - 5}{1-0}=2$.

Step3: Write the equation

Using the slope - intercept form $y=mx + b$, with $m = 2$ and $b = 5$, we get $y = 2x+5$.