Write the point-slope form of the equation of the line through the given points ( − 4, 1) and (4, 4)

The slope-point form:

The formula of a slope:

We have the points (-4, 1) and (4, 4). Substitute:

Therefore we have the equation of a line

Put the coordinates of the point (4, 4) to the euation of a line:

     subtract 1.5 from both sides

(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.