Question

The following points for a function are graphed in the coordinate plane: (0, 4), (1, 5), (2, 6), and (3, 7).What function is being graphed?y = x + 4y = 4 x3 x + 4y = 2 x + 3

Answer 1

Answer:

The correct answer is

$y=x+4$

Explanation:

We are given the points:

(0, 4)

(1, 5)

(2, 6)

(3, 7)

We can see that for each unit that x-coordinate grows, the y-coordinate also grows one.

This means that the slope of the line is m = 1

The first point given, tell us the y-intercept: (0, 4)

The slope-intercept form of a line is:

$y=mx+b$

Where m is the slope and b the y-intercept.

For the points given:

m = 1

b = 4

Thus:

$y=1\cdot x+4=x+4$