The equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
<h3>Equation of a line</h3>
A line is the shortest distance between two points. The equation of a line in point-slope form and perpendicular to a line is given as;
y - y1 = -1/m(x-x1)
where
m is the slope
(x1, y1) is the intercept
Given the following
Point = (4, -1)
Line: 2x-y - 7 = 0
Determine the slope
-y = -2x + 7
y= 2x - 7
Slope = 2
Substitute
y+1 = -1/2(x -4)
Write in slope-intercept form
2(y + 1) = -(x - 4)
2y+2 = -x + 4
2y = -x + 2
y = -1/2 + 1
Hence the equation of a line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0 is y = -1/2x + 1
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Answer:
Shape 1 = l×b
= (6x²y) × (4y²)
Shape 2 = l×b
= (6x²y+2x²y)×(y²)
= (8x²y) × y²
Step-by-step explanation:
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Answer:
$522.99
Step-by-step explanation:
Fv = total amount plus interest over the given period of time
P = Principal amount deposited i.e $500
r = interest given 1.5% i.e 0.015
n = period of time the principal remains deposited. In this case annually i.e 12 months
FV = $522.99
Answer:
C. (x, y) → (x, -y)
Step-by-step explanation:
The algebraic representation that correctly describes a reflection over the x-axis is (x, y) → (x, -y)
Here's an example to show understanding
Plot A is (4,6) and the reflection over the x-axis would be (4,-6)
Answer:
240 cubic feet
Step-by-step explanation:
l×w×h
12×4=48
48×5=240
