The y-intercept of a line has the same value as its gradient. If this line cuts the curve y = x^(3) – 2x^(2) – 3x – 8 at x = 3, find the equation of the line. Select one: a. 2x …

Question

The y-intercept of a line has the same value as its gradient. If this line cuts the curve y =
`x^(3)` – 2
`x^(2)` – 3x – 8 at x = 3, find the equation of the line.

Select one:


a. 2x − y + 2 = 0


b. 2x + y + 2 = 0


c. 2x + y − 2 = 0


d. None of these

Answer 1

B. 2x+y+2+=0

Explanation:

Given: x=3

First: you substitute for x in y=x^3-2x^2-3x-8

y=(3)^3-2(3)^2-3(3)-8

y=-8

Now all you have to do is plug y in each of the answers until you get 3 for x.

A. 2x-(-8)+2=0

2x+10=0

2x=-10

x=-5

B. 2x+(-8)+2=0

2x-6=0

2x=6

x=3

C. 2x+(-8)-2=0

2x-10=0

2x=10

x=5