Find the eqation of the line perpendicular to y=3x-6 that runs through the point (-1, -3)
1 answer:
The coefficient of x in the equation of the given line, 3, is its slope. The slope of the perpendicular line is the negatve reciprocal of that, -1/3. You now have the slope and a point on the perpendicular line, so you can write its equation using the point-slope form:
y = m(x -x₁) +y₁
where m is the slope and (x₁, y₁) is the point.
An equation for your perpendicular line is
y = (-1/3)(x -(-1)) -3
y = (-1/3)x -10/3
The slope-intercept form of the equation of the perpendicular line is ...
y = (-1/3)x -10/3
y = m(x -x₁) +y₁
where m is the slope and (x₁, y₁) is the point.
An equation for your perpendicular line is
y = (-1/3)(x -(-1)) -3
y = (-1/3)x -10/3
The slope-intercept form of the equation of the perpendicular line is ...
y = (-1/3)x -10/3
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Answer:
<h2>x = 5.7</h2>Step-by-step explanation:
To find x first cross multiply
We have
7x = 8 × 5
7x = 40
Divide both sides by 7
That's
x = 5.7142
We have the final answer as
<h3>x = 5.7 to the nearest tenth</h3>Hope this helps you