The blue line of best fit for boys intersects the vertical axis at 20 inches and the point (12.5, 25). Which equation best describes the boy's line of best fit?
Is the relation supposed to be linear?
If so, then you have two ordered pairs,
(0,20) and (12.5 , 25)
Find the equation of that line using your usual method.
To find the equation that describes the blue line of best fit for boys, we need to use the slope-intercept form of a linear equation: y = mx + b, where "m" is the slope and "b" is the y-intercept.
Given that the blue line of best fit intersects the vertical axis at 20 inches, we know that the y-intercept (b) is 20. So, we have y = mx + 20.
To determine the slope (m), we can use the coordinates of the point where the line of best fit intersects (12.5, 25). The slope (m) is the change in y divided by the change in x between any two points on the line. In this case, we can use the coordinates of the given point and the y-intercept (0, 20).
m = (y2 - y1) / (x2 - x1)
= (25 - 20) / (12.5 - 0)
= 5 / 12.5
= 0.4
Now we know the slope (m) is 0.4 and the y-intercept (b) is 20, so the equation that describes the blue line of best fit for boys is y = 0.4x + 20.