The slope of the line is 3/4 and the line is from the point (0, 2)
Equation of a line
A line is defined as the shortest distance between two points. The standard equation of a line is given as y = mx + b
where
m is the slope
b is the y-intercept
Given the equation y = -5/4 x
From the given equation, the slope of the line is 3/4 and the line is from the point (0, 2) as shown.
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The equation of the hyperbola is 
<h3>How to determine the equation of the graph?</h3>
The points on the graph are given as:
- (2, 0) and (-2, 0)
- (4, 0) and (-4, 0)
- Lines at: x = 1 and x = -1
The hyperbola can be represented as:
The points (2, 0) and (-2, 0) means that:
Square both sides
So, we have:
Also, we have:
a^2 = c^2 - b^2
Where c = 4
This gives
a^2 = 4^2 - 4
Evaluate
a^2 = 12
Substitute a^2 = 12 in
Hence, the equation of the hyperbola is
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Equation of a line is given by y - y1 = m(x - x1); where m is thw slope.
y - (-2) = 0(x - 0)
y = -2
For perpendicular lines, m2 = -1/m1
so, m2 = -1 / -1/3 = 3
Therefore the slope of a line perpendicular to the line is 3.
Answer:
Closer to 30.
Step-by-step explanation:
To answer this first find 40% of 90.
90*0.4=36
0.4 is the same as 40%
Hope this helps!
If not, I am sorry.
Sorry the photo is blurry
