What is the equation in point slope form of a line that passes through the point (−8, 2) and has a slope of 1/2?

point slope form

y-y1 = m(x-x1)

where m is the slope and (x1, y1,) is a point

substitute in

y-2 = 1/2(x--8)

y-2 = 1/2(x+8)

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.