Question

On a coordinate plane, a line goes through points (0, negative 3) and (2, 1). Which is the linear function that is represented by which table has the same slope as the graph? This assignment is timed!

A - Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries negative 9, negative 7, negative 5, negative 3, negative 1.

B - Column 1 is labeled x with entries negative 25, negative 21, negative 17, negative 13, negative 9. Column 2 is labeled y with entries 9, 7, 5, 3, 1.

C - Column 1 is labeled x with entries negative 9, negative 7, negative 5, negative 3, negative 1. Column 2 is labeled y with entries negative 25, negative 21, negative 17, negative 13, negative 9.

D - Column 1 is labeled x with entries 1, 3, 5, 7, 9. Column 2 is labeled y with entries negative 9, negative 13, negative 17, negative 21, negative 25.

Answer 1

Answer:

Graft the function y = x + 2

Begin by choosing a couple of values for x e.g. -2, -1, 0, 1 and 2 and calculate the corresponding y values.

X Y = x + 2 Ordered pair

-2 -2 + 2 = 0 (-2, 0)

-1 -1 + 2 = 1 (-1, 1)

0 0 + 2 = 2 (0, 2)

1 1 + 2 = 3 (1, 3)

2 2 + 2 = 4 (2, 4)

Now you can just plot the five ordered pairs in the coordinate plane

picture13

At the moment this is an example of a discrete function. A discrete function consists of isolated points.

By drawing a line through all points and while extending the line in both directions we get the opposite of a discrete function, a continuous function, which has an unbroken graph.