Question

a function includes the points (4, -3) and (-9,4). what fraction in lowest terms represents the output value of this function for an input of zero

Answer 1

-11/13

Explanation:

The equation of the line through these points can be written using the 2-point form of the equation of a line:

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (4 -(-3))/(-9-4)/(x -4) -3

y = (-7/13)x +28/13 -3

For x=0, the value of y is ...

y = 28/13 -39/13 = -11/13

The output for an input of 0 is -11/13.