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Answer:
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
- (x, y) = (-1, -7)
Step-by-step explanation:
Let P be the point.
As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
(x₁, y₁) = (-2,-8)
(x₂, y₂) = (5,-1)
Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7
Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7
1 : 6 ratio means the point P lies at
Thus,
rise for P = 7 × 14% = 1
run for P = 7 × 14% = 1
Thus, coordinates of P will be:
x = -2 + 1 = -1
y = -8 + 1 = -7
Thus,
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
- (x, y) = (-1, -7)
The equation of a line in a point-slope form is
where m is a slope of the line and
is the point that line is passing through.
If slope m=3, then the equation will be
The line is passing through the point (1,4), then the equation of the line is:
Answer: option A