Question

Which of the following is true for this table?

Answer 1

The answer is D. The points in the table are put of order. If you rearrange them, you will see that they correlate with whats on the graph. The slope is -2 which eliminates every other option.

Answer 2

The correct option is the graph of the line passing through given points.

The correct answer is an option (D)

What is slope of the line?

"The slope of the line passing thought points $(x_1,y_1),(x_2,y_2)$ is

$m=\frac{y_2-y_1}{x_2-x_1}$ "

What is y-intercept?

"The point at which the graph of the function intersects the y-axis."

What is slope-intercept form of the line?

"The slope-intercept form of the line is y = mx + c, where m is the slope and c is the y-intercept."

For given question,

We have been given a table.

From table first we find the slope.

Using slope formula,

$\frac{6-4}{-1-0}=-2\\\\ \frac{0-6}{2-(-1)}=-2\\\\ \frac{2-0}{1-2}=-2$

This means the slope of the line is -2.

Also, for x = 0, the value of y is 4.

This means, the y-intercept is c = 4

Using slope-point form of the line,

y = -2x + 4 is the equation of the line passing though given data points.

Also, the graph of the line though given data points is as shown below.

Therefore, the correct option is the graph of the line passing through points .

The correct answer is an option (D)

Learn more about the slope of the line here:

https://brainly.com/question/14511992

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