The x-value corresponding to y=13 on the line of best fit, derived from points (0,5) and (10,11) with a slope of 0.6 and y-intercept of 5, is approximately 13.33.
Two points on the line of best fit: (0,5) and (10,11).
Slope of the line of best fit: 0.6.
Y-intercept of the line of best fit: 5.
The task is to find the x-value corresponding to y=13 on the line of best fit.
Finding the Slope (m):
The slope (m) is determined using the formula: "m equals the change in y divided by the change in x," where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the points (0,5) and (10,11): Slope (m) = (11 - 5) / (10 - 0) = 6 / 10 = 0.6.
Finding the Y-intercept (b):
The equation of a line in slope-intercept form is "y equals mx plus b."
We can use one of the points (let's use (0,5)) to find the y-intercept:
Plug in x = 0 and y = 5 into the equation: 5 = 0.6 * 0 + b.
Solving for b, we get b = 5.
Equation of the Line of Best Fit:
With the slope (m) and y-intercept (b), the equation of the line of best fit is y = 0.6x + 5.
Finding the X-value for y=13:
Plug in y = 13 into the equation and solve for x:
13 = 0.6x + 5.
Subtract 5 from both sides: 8 = 0.6x.
Divide by 0.6: x = 8 / 0.6 = 13.33.
Therefore, the x-value that corresponds to y=13 on the line of best fit is approximately 13.33.