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Sagot :
Answer
The equation of the line is
y = (-x/7)
We can cross multiply and write it in the form of
7y = -x
OR
x + 7y = 0
Explanation
The slope and y-intercept form of the equation of a straight line is given as
y = mx + b
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
b = y-intercept of the line.
The relationship between the slopes of two lines that are perpendicular to each other is
m₁m₂ = -1
m₁ = Slope of line 1
m₂ = Slope of line 2
For the given equation, if we compare its equation with y = mx + b,
y = 7x - 3
y = mx + b
m = 7, b = -3
We can now find the slope of the line we want.
m₁m₂ = -1
m₁ = 7
m₂ = ?
m₁m₂ = -1
(7)m₂ = -1
7m₂ = -1
Divide both sides by 7
(7m₂/7) = (-1/7)
m₂ = (-1/7)
Then we can find the equation of the line we want.
For that line,
m = slope = (-1/7)
b = y-intercept (where the line crosses the y-axis) = 0
This is obtained from the point given that the line passes through the origin, (0, 0)
So, we can write y = mx + b
y = (-1/7)x + 0
y = (-x/7)
We can cross multiply and write it in the form of
7y = -x
OR
x + 7y = 0
Hope this Helps!!!
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