this scatter - plot shows the association between time elapsed and distance left to go when john drove from…

this scatter - plot shows the association between time elapsed and distance left to go when john drove from city a to city b. what are the slope and the y - intercept of the line of best fit on the scatter - plot?\ndistance (miles)\n120\n100\n80\n60\n40\n20\n0\n20 40 60 80 100 120\ntime (minutes)\na. the y - intercept is 80, and the slope is 0.\nb. the y - intercept is 80, and the slope is -\\frac{2}{3}.\nc. the y - intercept is 0, and the slope is +\\frac{2}{3}.\nd. the y - intercept is 15, and the slope is \\frac{2}{3}.\ne. the y - intercept is 0, and the slope is \\frac{1}{3}.

this scatter - plot shows the association between time elapsed and distance left to go when john drove from city a to city b. what are the slope and the y - intercept of the line of best fit on the scatter - plot?\ndistance (miles)\n120\n100\n80\n60\n40\n20\n0\n20 40 60 80 100 120\ntime (minutes)\na. the y - intercept is 80, and the slope is 0.\nb. the y - intercept is 80, and the slope is -\\frac{2}{3}.\nc. the y - intercept is 0, and the slope is +\\frac{2}{3}.\nd. the y - intercept is 15, and the slope is \\frac{2}{3}.\ne. the y - intercept is 0, and the slope is \\frac{1}{3}.

Answer

Explanation:

Step1: Identify y - intercept

The y - intercept is the value of y when x = 0. Looking at the scatter - plot, when time (x) = 0 minutes, the distance (y) is 80 miles. So the y - intercept is 80.

Step2: Calculate the slope

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Choose two points on the line of best - fit, say (0, 80) and (120, 0). Then $m=\frac{0 - 80}{120-0}=\frac{-80}{120}=-\frac{2}{3}$.

Answer:

B. The y - intercept is 80, and the slope is $-\frac{2}{3}$