Final answer:
To find the new function after changing the slope to 8, we can use the point-slope form of a linear equation.
Step-by-step explanation:
To determine the new function after changing the slope to 8, we need to use the point-slope form of a linear equation.
The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Using the original point (3, f(3)) = (3, 6(3) - 10) = (3, 8), we have:
y - 8 = 8(x - 3)
Expanding and simplifying:
y - 8 = 8x - 24
y = 8x - 16