Which equation represents a line that passes through (-9,-3) amd has a slope of -6

Step-by-step explanation:

Point slope form is y-y1=m(x-x1)

(x1,y1) is (-9,-3)

m is -6

Plug in!

y-(-3)=(-6)(x-(-9)) The answer could look like this.

y+3=-6(x+9)    Or this.

y=-6(x+9)-3     Or this

y=-6x-54-3     Even this but unlikely...

y=-6x-57         Or this.

I will change my answer after choices are posted.

y+3 = -6(x+9)  point slope form

y = -6x-57  slope intercept form

Step-by-step explanation:

We can use the point slope equation of a line

y-y1 = m(x-x1)

y--3 = -6(x--9)

y+3 = -6(x+9)

If we want the equation in point slope form

Distribute the -6

y+3 = -6x -54

Subtract 3 from each side

y+3-3 = -5x-54 -3

y = -6x-57

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.