Question

Graph the function represented in the table on the coordinate plane.

Answer 1

Answer:

Completed Graph for points (-2, -6), (-1, -4), (0, -2), (1, 0) and (2, 2) is shown in attached figure (a). The graph is a straight line.

Step-by-step explanation:

As following are the points as mentioned in the question:

x          −2 ​      −1 ​      0        1        2

y ​​         −6 ​ ​     −4 ​ ​   −2 ​      0     ​   2

Completed Graph for points (-2, -6), (-1, -4), (0, -2), (1, 0) and (2, 2) is shown in attached figure (a). The graph is a straight line.

The location of the points on the coordinate plane can also be obtained by following method.

First find the slope.

m = (y₂ - y₁) / (x₂ - x₁)

m = (-4 - (-6)) / (-1 - (-2))

m = 2 / (-1+2)

m = 2 / 1

m = 2

Then, find the equation of line:

(y - y₁) = m (x - x₁)

y - (-6) = 2 (x - (-2))

y + 6 = 2 (x + 2)

y + 6 = 2x + 4

y = 2x - 2

By this equation, we can easily determine and plot the points on the graph, as shown in attached graph.

Keywords: coordinate plane, graph, function

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