Question

Construct a linear function, f(x), to model the ordered pairs (6, 2) and (7, −5). f(x) = 7x + 44 f(x) = x + 4 f(x) = −44x + 7 f(x) = −7x + 44

Answer 1

First we find the slope between the two given points.

m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7

Now we use the slope-intercept equation of a line.

y = mx + b

We use one point as x and y, and we solve for b.

2 = -7(6) + b

2 = -42 + b

b = 44

The equation is

y = -7x + 44

Answer: f(x) = -7x + 44