One of the ways of dividing polynomials is by synthetic division
The divisor of the synthetic division is x + 5
<h3>How to determine the divisor of the division</h3>From the question, we understand that:
Entry -5 is on the outside to the left of the shape
The entry represents the zero of the divisor.
Next, we set this entry to the variable (assume the variable is x)
So, we have:
Add 5 to both sides
Hence, the divisor of the synthetic division is x + 5
Read more about synthetic division at:
<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.