what are the slope and the y - intercept of the line of best fit on this scatter plot?\na. the y - intercept…
what are the slope and the y - intercept of the line of best fit on this scatter plot?\na. the y - intercept is 8, and the slope is -\\frac{4}{3}.\nb. the y - intercept is 8, and the slope is \\frac{4}{3}.\nc. the y - intercept is - 8, and the slope is -\\frac{4}{3}.\nd. the y - intercept is 8, and the slope is -\\frac{3}{4}.
Answer
Explanation:
Step1: Identify y - intercept
The line of best - fit crosses the y - axis at y = 8, so the y - intercept is 8.
Step2: Calculate the slope
Use two points on the line, say (0, 8) and (6, 0). The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $x_1 = 0,y_1 = 8,x_2 = 6,y_2 = 0$. Then $m=\frac{0 - 8}{6-0}=\frac{-8}{6}=-\frac{4}{3}$.
Answer:
A. The y - intercept is 8, and the slope is $-\frac{4}{3}$