Question

The graph of a linear function is shown. A coordinate plane with a straight line passing through (negative 4, 2), (0, 0), and (4, negative 2). Which word describes the slope of the line? positive negative zero undefined
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Answer 1

Answer:

the answer is B

Step-by-step explanation:

Answer 2

The slope of the line is $m=-\frac{1}{2}$

Explanation:

Given that a coordinate plane with a straight line passing through the points $(-4,2)$ , $(0,0)$ and $(4,-2)$

We need to determine the slope of the line.

The slope of the line can be determined using the formula,

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

Since, the points $(-4,2)$ , $(0,0)$ and $(4,-2)$ lie on the straight line and the slope of all the points in a straight line have the same slope.

Hence, let us consider the points $(-4,2)$ and $(0,0)$

Let us substitute these points in the slope formula, we have,

$m=\frac{0-2}{0+4}$

Simplifying, we get,

$m=\frac{-2}{4}$

Dividing, we get,

$m=-\frac{1}{2}$

Hence, the slope of the line is $m=-\frac{1}{2}$