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2 years ago

Graph the line that passes through the two points. Then find the slope of the line. (2,9), (4, 18)

Mathematics

1 answer:

viva [34]2 years ago

7 0

The slope of the line is 4.5

<h3>How to determine the slope?</h3>

The points are given as:

(2,9) and (4, 18)

The slope (m) is calculated using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (18 - 9)/(4 -2)

Evaluate

m = 4.5

Hence, the slope of the line is 4.5

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Answer:

$\overline {DE} \parallel \overline{AB}$ because $\frac{EC}{DC} = \frac{AC}{BC}$ .

Step-by-step explanation:

According to the Theorem of Thales and definition of proportionality, $\overline {DE} \parallel \overline{AB}$ if and only if $\frac{EC}{DC} = \frac{AC}{BC}$ . If we know that $EC = 15\,cm$ , $DC = 20\,cm$ , $BC = 36\,cm$ and $AC = 27\,cm$ , then we have the following result:

$\frac{15\,cm}{20\,cm} = \frac{27\,cm}{36\,cm}$

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