brianna created a scatter - plot and drew a line of best fit, as shown.\nwhat is the equation of the line of…

brianna created a scatter - plot and drew a line of best fit, as shown.\nwhat is the equation of the line of best fit that brianna drew?\na. $y=\frac{1}{2}x + 5$\nb. $y=\frac{1}{2}x + 7$\nc. $y = 2x+5$\nd. $y = 2x + 7$

brianna created a scatter - plot and drew a line of best fit, as shown.\nwhat is the equation of the line of best fit that brianna drew?\na. $y=\frac{1}{2}x + 5$\nb. $y=\frac{1}{2}x + 7$\nc. $y = 2x+5$\nd. $y = 2x + 7$

Answer

Explanation:

Step1: Find the y - intercept

The line of best - fit intersects the y - axis at 5. In the slope - intercept form of a line $y = mx + b$, where $b$ is the y - intercept, $b = 5$. This eliminates options B and D since their y - intercepts are 7.

Step2: Find the slope

Pick two points on the line, say $(0,5)$ and $(2,9)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $x_1 = 0,y_1 = 5,x_2 = 2,y_2 = 9$ into the formula: $m=\frac{9 - 5}{2-0}=\frac{4}{2}=2$.

Answer:

C. $y = 2x + 5$