Determine the intercepts of the line that passes through the following points. (-15,5) (-9,10) (-3,15)

We check the collinearity of points. If the points A(-15, 5), B(-9, 10) and C(-3, 15) are collinear, then the lines AB and BC are the same slope.

The formula of a slope:

Substitute:

A, B and C are collinear.

The slope-point form:

Substitute:

x-intercept: put y = 0 to the equation

y-intercept: put x = 0 to the equation

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: