(30 pts to whoever answers it right)Lacey decides to take her five year old son to the history museum. The price for the child's
1 answer:
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Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of and the second line has a slope of
.
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:
We now know that for the first line, which means that the slope of the second line is
. With this, we have the following equation for our new line:
where is the Y-intercept that we now need to determine with the coordinates given in the problem statement,
:
Finally, we can create our line:
Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt
Substituting the values we get
Also Slope of line when angle ' θ ' is given as
Substituting Slope = 1 we get
We Know That for angle 45°,
tan 45 = 1
Therefore
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.