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

select the correct answer. waylan created a scatter plot and drew a line of best fit, as shown. what is the equation of the line of best fit that waylan drew? a. $y = \frac{4}{3}x + 5$ b. $y = \frac{4}{3}x + 8$ c. $y = \frac{3}{4}x + 5$ d. $y = \frac{3}{4}x + 8$

select the correct answer. waylan created a scatter plot and drew a line of best fit, as shown. what is the equation of the line of best fit that waylan drew? a. $y = \frac{4}{3}x + 5$ b. $y = \frac{4}{3}x + 8$ c. $y = \frac{3}{4}x + 5$ d. $y = \frac{3}{4}x + 8$

Answer

Explanation:

Step1: Find the y - intercept

The line of best - fit intersects the y - axis at y = 5. So the y - intercept (b) of the line is 5.

Step2: Find the slope

Pick two points on the line, say (0, 5) and (3, 9). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 5,x_2 = 3,y_2 = 9$. Then $m=\frac{9 - 5}{3-0}=\frac{4}{3}$.

Step3: Write the equation of the line

The slope - intercept form of a line is $y=mx + b$. Substituting $m=\frac{4}{3}$ and $b = 5$ into the equation, we get $y=\frac{4}{3}x+5$.

Answer:

A. $y=\frac{4}{3}x + 5$