Question

Dylan created a scatter plot and drew a line of best fit from (9, 0) to (0, 18). The dot plots are marked near the line. What is the equation of the line of best fit that Dylan drew?

1) y = -2x + 18
2) y = 2x + 18
3) y = -2x + 9
4) y = 2x + 9

Answer 1

The equation of the line of best fit with points (9, 0) and (0, 18) is y = -2x + 18, representing a slope of -2 and a y-intercept of 18.

Step-by-step explanation:

Equation of the Line of Best Fit

The equation of the line of best fit that Dylan drew can be determined by using the two given points, (9, 0) and (0, 18). First, we calculate the slope (m) of the line using the formula:

m = (y2 - y1) / (x2 - x1)

Plugging in our values, we get:

m = (0 - 18) / (9 - 0) = -18 / 9 = -2

The y-intercept (b) is the y-value of the point where the line crosses the y-axis. Since one of the points Dylan used is (0, 18), the y-intercept is 18.

Thus, the equation of the line in slope-intercept form (y = mx + b) is:

y = -2x + 18

This represents the equation of best fit and correctly corresponds to option 1).