Question

A zookeeper thinks there is a problem with the naked-mole rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats. 13 days in he counts 108.
1.) write an equation in point-slope form that represents the situation (define your variables)

2.) convert your equation to slope-intercept form

Answer 1

Point-slope form is an equation for a straight line that is represented in the formula.............
(y - y1) = m(x - x1) -- this means y (which will stay the same throughout the equation) minus a known or given y value equals the slope (m), parenthesis x (which will also stay the same throughout the equation) minus a known or given x value.

1.) An equation in point-slope for this would be.... (y - 120) = -2(x - 7) -- 120 being your known y value and 7 being your known x value.

2.) The equation in slope intercept form
(which is y=mx+b) would be y = -2x+134.
(y - 120) = -2(x - 7)
(y - 120) = -2*x + (-2*-7)
y - 120 = -2x + 14
+120 +120

y = -2x + 134