The equation of the perpendicular line will be y = (4/3)x.
<h3>What is a linear equation?</h3>
A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Then the equation of the perpendicular line will be given as
y = - (1 / m)x + c
The equation of line is y = -3/4 x + 1.
Then the equation of the perpendicular line will be
y = 4/3 x + c
The equation is passing through (9, 12), then we have
12 = 4/3 (9) + c
12 = 12 + c
c = 0
Then the equation of the perpendicular line will be y = (4/3)x.
More about the linear equation link is given below.
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The elements found in greatest abundance in the Earth include oxygen, silicon, aluminum, iron and calcium; these substances also make up the bulk of the moon. Although the moon is a<span>n airless world, it has large amounts of oxygen in the form of solid chemical compounds.</span>
I have not done this in advance. I'm just going to write it down
and see what I can do with it:
[ 1/(x+3)² - 1/x² ] / 3
Multiply the top and bottom by (x+3)² :
[ 1 - (x+3)²/x² ] / 3 (x+3)²
Multiply the top and bottom by x² :
[ x² - (x+3)² ] / 3 x² (x+3)²
Now it's just a matter of expanding and cleaning things up,
and hope and pray that a lot of things cancel.
Eliminate the parentheses on top and bottom:
[ x² - x² - 6x -9 ] / 3 x² (x² + 6x + 9)
Combine the x² terms on top, and divide top and bottom by 3 :
[ - 2x - 3 ] / x² (x² + 6x + 9)
Finally, all I can make of this is:
- (2x + 3) / [ x(x+3) ]² .
That's not a whole lot prettier than the original form, but at least
we got rid of those fractions in the numerator of a fraction.
I hope this is some help to you.
y=-3x+4 = x = 4/3
y=3x-2 = x =2/3
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Is this a problem? ( Math )
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