f(0) = 12, f(−7) = 8
To find the function, f(x), we can use the two given points: (0, 12) and (-7, 8).
The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.
To find the slope, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (0, 12) and (-7, 8), we can substitute the values into the formula:
m = (8 - 12) / (-7 - 0)
= -4 / -7
= 4/7
Now that we have the slope, we can find the y-intercept (b) by substituting one of the points into the equation f(x) = mx + b.
Using the point (0, 12):
12 = (4/7)(0) + b
12 = b
Therefore, the function f(x) = (4/7)x + 12.