Question

Unit Rates & Proportions Unit Test
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Question
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A coordinate plane's axes range from negative 10 to 10, both by 1-unit increments. A solid line with arrows at both its ends passes through three plotted points. The labeled coordinates of the plotted points through which the line passes are as follows: left parenthesis negative 6 comma 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 6 comma negative 1 right parenthesis.

Find the slope of the line using similar triangles.

(1 point)
The slope is
.
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Answer 1

To find the slope of the line using similar triangles, we can calculate the vertical change and horizontal change between any two points.

Let's use the points (-6, 1) and (0, 0) to calculate the slope:

Vertical change = 1 - 0 = 1
Horizontal change = -6 - 0 = -6

The slope is calculated by dividing the vertical change by the horizontal change:
slope = vertical change / horizontal change
slope = 1 / -6
slope = -1/6

Therefore, the slope of the line is -1/6.