Answer:
f(x) = 4x + 10
Step-by-step explanation:
The given information is in the form f(x) = y.
f(0) = 10 means if x is 0, y is 10. This is the point (0,10)
Likewise, f(6) = 34
means when x is 6, y is 34. That is the point (6,34).
Slope is y-y / x-x
34-10 / 6-0
is 24/6.
The slope is 4.
The y-intercept is where x is 0, that is 10.
y=mx+b is slope-intercept form. Fill in the slope, 4 for m and the y-intercept, 10, for b.
y = 4x + 10
but they also asked to call it f, so for function notation, use f(x) instead of y.
f(x) = 4x + 10
