What is the length of segment AB?
1 answer:
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Answer (<u>assuming it can be in point-slope form)</u>:
Step-by-step explanation:
Use the point-slope formula to write the equation of the line. Substitute real values for
,
, and
in the formula.
Since represents the slope, substitute 1 in its place. Since
and
represent the x and y values of a point the line intersects, substitute the x and y values of (4,3) in its place. Substitute 4 for
and 3 for
. This gives the following equation and answer in point-slope form:
Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d =
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d =
=
Given distance between points is 10, then
= 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± = ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3