Answer:
To find the equation of a function given a set of points, we can use the slope-intercept form of a linear equation, which is written as y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
To find the slope of the line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the values from the given points, we have:
m = (12 - 8) / (5 - 3) = 4 / 2 = 2
The y-intercept is the point where the line crosses the y-axis, which in this case is the point (0, 8). Substituting these values into the slope-intercept form of the equation, we have:
y = 2x + 8
Therefore, the equation of the function with the given points is y = 2x + 8.
Explanation: