Through (2, -1), perp. to y = -2x-3
1 answer:
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Answer:
y = 1/2x -2
Step-by-step explanation:
The given equation is in slope-intercept form, so you recognize its slope is -2. The perpendicular line will have a slope that is the opposite reciprocal of that, so is -1/-2 = 1/2.
The y-intercept can be found from ...
b = y -mx . . . . . for line of slope m through point (x, y)
b = -1 -(1/2)(2) = -1 -1 = -2
Then the slope-intercept equation of the perpendicular line is ...
y = 1/2x -2
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Answer:
The given argument is valid by the law of detachment
Step-by-step explanation:
Law of Detachment states that if the following two statements are true:
(1) If a , then b .
(2) a
Then we can say a third true statement:
(3) b.
Given:
1) If a triangle has an angle with a measure more than 90°, then the triangle is an obtuse triangle.
2) The measure of an angle in △ABC is 110°.
Let the statement a be "If a triangle has an angle with a measure more than 90°" , and b be the statement "the triangle is an obtuse triangle."
then, (1) and (2) can be written as:
1) If a , then b.
2) a
so, by the Law of Detachment, we can say that b is true i.e,
is an obtuse triangle.