A line segment has endpoints P(-1,5)and Q(5,2) find the coordinate of that trisect the segment
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Answer:
We conclude that the equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
- (-3, -16)
- (-5, -26)
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:
We will check each options and verify it
(a)
we can plug m=2
so, this is FALSE
(b)
we can plug x=3
so, this is TRUE
(c)
we can plug x=3
so, this is FALSE
(d)
now, we can plug x=2
So, this is FALSE