Question

What is the linear function equation represented by the graph? Graph of a line on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 in increments of 1. The vertical y-axis ranges from negative 5 to 5 in increments of 1. A line intersects the y-axis at begin ordered pair 0 comma 3 end ordered pair and passes through at begin ordered pair 3 comma 5 end ordered pair.

Answer 1

The 2-point form of the equation of a line is
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
For your points (x1, y1) = (0, 3) and (x2, y2) = (3, 5), this is
.. y = (5 -3)/(3 -0)*(x -0) +3
.. y = (2/3)x +3

Written as a function, it is
.. f(x) = (2/3)x +3

Answer 2

Answer:

.. f(x) = (2/3)x +3

Step-by-step explanation: