Answer:
Step-by-step explanation:
Given
Required
Determine the quotient
See attachment for complete process.
First, divide 125x^3 by 5x
Write at the top
Multiply by
Subtract from 125x^3 - 8
i.e.
Step 2:
Divide 50x^2 by 5x
Write at the top
Multiply by
Subtract from 50x^2 - 8
i.e.
Step 3:
Divide 20x by 5x
Write at the top
Multiply by
Subtract from 20x - 8
i.e.
Hence:
<u>ANSWER: </u>
The slope intercept form of the required line is y = -2x + 20.
<u>SOLUTION: </u>
Given, line equation is
And, Perpendicular line to the given line passes through (7,-6).
We need to find the slope intercept form of perpendicular line of given line.
We already have the point (7, -6) but we need to find the slope.
Now, we know that, product of slopes of two perpendicular lines equals to -1.
Slope of given line is , by comparing with the general form of slope intercept form.
slope of required line = -1
Slope of perpendicular line = -2
Now, line equation of perpendicular line in point slope form is
y – (-6) = -2(x – 7)
y + 6 = -2x + 14
y = -2x + 20
the above equation is in the form of slope intercept form of a line equation
where slope m = -2 and intercept c = 20
hence, the slope intercept form of the required line is y = -2x + 20.