The ratio has a total of 2+3=5 units, of which 2 correspond to the length of segment AM. The difference of x-coordinates Bx-Ax = 20-0 = 20. 2/5 of that amount is (2/5)*20 = 8, so the x-coordinate of M is
Mx = 8 + Ax = 8 + 0 = 8
The difference of y-coordinates is 0 - 15 = -15. 2/5 of that amount is (2/5)*(-15) = -6, so the y-coordinate of M is
... My = -6 + Ay = -6 + 15 = 9
The point M is (Mx, My) = (8, 9).
Answer:
We conclude that the equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
Determining the slope between (-3, -16) and (-5, -26)
Thus, the slope of the line is: m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b
-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation
Therefore, we conclude that the equation of the line is: