Question

Which of the graphs below shows correctly plotted points for the following line? y=−4−2x

Answer 1

The graph of the linear function y = -4 - 2x is given at the end of the answer.

Graph of linear function

The slope-intercept representation of a linear function is presented by the equation below:

y = mx + b.

The parameters of the equation, and their meaning, are explained as follows:

• m is the slope of the function, representing the change in the output variable y relative to the input variable x.

• b is the y-intercept of the function, which is the value of y at which the function crosses the y-axis.

In this problem, the function is given as follows:

y = -4 - 2x.

Hence the intercept is:

b = -4.

Meaning that point (0,-4) is on the graph of the function.

The x-intercept of the function is given as follows:

-4 - 2x = 0

2x = -4

x = -2.

Hence point (-2,0).

A decreasing line, due to the negative slope, is plotted through the two points, and when x increases by 1, y decays by 2.

A similar problem, also about linear functions, is given at brainly.com/question/24808124

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