Find the equation of the line that passes through (9,14) and is perpendicular to y= 1/3x-5

Step-by-step explanation:

Equation of a Line

A line of slope m and y-intercept b can be expressed by the equation:

We are given a line with the equation:

The slope of this line is m1=1/3. To find the slope m2 of a line perpendicular to this one, we use the following equation:

Solving for m2:

Once found the new slope, the required equation has the form:

To find b, we use the point (9,14) through which the line passes:

Thus the equation of the line is:

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.