Write a linear function f with given values

Question

Write a linear function f with given values

X. F(x)

-4 -2

-2 -1

0. 0

F(x)=

Answer 1

The form of the function is y = mx + b, where m is the slope of the line and b is the y-intercept of the line (0,b). Since (0,0) is on the line, the y-intercept is (0,0), so that b=0. The slope is calculated by the formula (y2 - y1)/(x2 - x1). Any two of the three points can be used. Selecting (-4,-2) and (-2,-1), the slope is (-2-(-1))/(-4 -(-2)) = -1/-2 = +1/2.

F(X) = 1/2*x + 0

= 1/2*x