Solve for x. write both solutions, separated by a comma.

x = -3 and x = 3/2

Step-by-step explanation:

2x^2 + 3x - 9 = 0

2x^2 + 6x - 3x - 9 =0

2x(x + 3) - 3(x + 3) = 0

(2x - 3)(x + 3) = 0

2x - 3 = 0; x = 3/2

x + 3 = 0; x = -3

see explanation

Step-by-step explanation:

given

2x² + 3x - 9 = 0

To factor

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 9 = - 18 and sum = + 3

The factors are + 6 and - 3

Use these factors to split the x- term

2x² + 6x - 3x - 9 = 0 ( factor the first/second and third/fourth terms )

2x(x + 3) - 3(x + 3) = 0 ← factor out (x + 3)

(x + 3)(2x - 3) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

2x - 3 = 0 ⇒ 2x = 3 ⇒ x =

Solutions are x = - 3,

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is