Hey!
So the first thing we realize is that it says that the equation is perpendicular to the line, meaning that the slope of the line is the negative reciprocal of the slope of the line you are given. Since we are given the slope of this line as 3/4 we can take the negative reciprocal of this to get -(4/3).
Now that we have the slope and a point on the line you can plug those into the equation y = mx + b to find b. The slope of the line is m and the point contains the x and y values.
5 = -(4/3)(-3) + b
5 = 4 + b
1 = b
Since we have the y-intercept and the slope now we can plug that into the slope-intercept form equation to get the equation we need:
y = -(4/3)x + 1
The way to find the factores is by seeking the polonomial's roots, or zeros!
To find the roots, we set the polinomial equation to zero:
x^2+16y^2=0
Then we solve this equation:
x^2=-16y^2
This is only true, if x=y=0.
The formula for the equation of y, the number of units sold as a function of x is y = 0.00625x + 250
<h3>How to illustrate the equation?</h3>
From the information given, when the company spends no money on advertising, it sells 250 units and for each additional $4000 spent, an additional 25 units are sold.
The formula for y will be:
y = (25/4000)x + 250
y = 0.00625x + 250
Learn more about equations on:
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B. represents a dialation
