Mary bought a $30 shirt that was on sale for 20% off. What is the cost of the shirt after the discount?
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The general formula of A line in slope-intercept form is the following:
In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1
Multiply first.
And finally add 1 1/5 to both sides of the equation.
We can now switch sides.
Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
The general formula of A line in slope-intercept form is the following:
In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1
Multiply first.
And finally add 1 1/5 to both sides of the equation.
We can now switch sides.
Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
The line is called the directrix. Here we have a vertical directrix, so a parabola sideways from usual.
Geometry is best done with squared distances. The squared distance from an arbitrary point (x,y) to the vertical line x=2 is
We equate that to the squared distance of (x,y) to the focus (-2,0):
We could call that done. A more standard form might be
Geometry is best done with squared distances. The squared distance from an arbitrary point (x,y) to the vertical line x=2 is
We equate that to the squared distance of (x,y) to the focus (-2,0):
We could call that done. A more standard form might be