The equation of line cd is y = −2x − 2. what is the equation of a line parallel to line cd in slope-intercept form that contains point (4, 5)? y = −2x + 13 y = negative one halfx + 7 y = negative one halfx + 3 y = −2x − 3

y = -2x + 13

step-by-step explanation:

the slope has to be the same as the given line which is - 2

so far, what you have is y = - 2x + b

now to get b, which is the y intercept, just use the point.

x = 4

y = 5

5 = -2*4 + b

5 = - 8 + b

5+8 = -8+8 + b

13 = b

y = -2x + 13

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

answer: yes i agree that you should not put it on/p>

step-by-step explanation: the reason for this is that it wastes other peoples time and also make them fail as well and that is never good.