Final answer:
To draw a line of fit for the given data, plot the points on a scatter plot and connect them. The equation for the line of fit is y = 1.5x - 10.
Step-by-step explanation:
To draw a line of fit for the data, we first need to plot the points on a scatter plot. The points are (10, 5) and (40, 35). After plotting the points, we can connect them to form the line of fit. The line should pass as close as possible to the points without necessarily touching every point.
Next, to find the equation for the line of fit, we can use the slope-intercept form y = mx + b. The slope of the line can be found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. In this case, we can take (10, 5) and (40, 35) as our two points. Once we have the slope, we can substitute one of the points and the slope into the equation to find the y-intercept (b).
Adding it all together, the equation for the line of fit is: y = 1.5x - 10.