Answer:
f(x) = -2.5x +5
Step-by-step explanation:
You want the linear function f(x) that is represented by the ordered pairs ...
{(−4, 15), (0, 5), (4, −5), (8, −15)}
Slope
The slope of the line can be found using the formula ...
m = (y2 -y1)/(x2 -x1)
m = (5 -15)/(0 -(-4)) = -10/4 = -2.5
Intercept
The y-intercept of the line is given by the point (0, 5).
Slope-intercept form
The equation of the line in slope-intercept form is ...
f(x) = mx +b . . . . . . . where m is the slope, and b is the y-intercept
For the values we've identified, the equation of the line is ...
f(x) = -2.5x +5
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