Question

The graph of a linear function, f, passes through the points (-5.10) and (5.2).
Determine a function without the use of calculator.

Answer 1

The first thing you need to do here is find the slope. Use the following formula:\[m=\frac{ y_{2}-y_{1} }{ x_{2}-x_{1} }\]

Answer 2

@trainwrecking okay, what do I do after that ?

Answer 3

Find the slope "m" as indicated above.

Then find the equation of the line using the formula:
y - y1 = m(x - x1) where (x1, y1) can be either one of those two given points.
Express y as a function of x.
Replace y with f(x) and that will be the function.