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Bas_tet [7]
2 years ago
8

Write the equation in slope-intercept form of a line that has a slope of and passes through the point (-6, 0). 3. 1 = -2 3. 1 =

3 O y O y=x-6 O y=-x-2 O =+2 1 0 O y=-x+ 2​

Mathematics
1 answer:
Alexus [3.1K]2 years ago
3 0

(\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y=\cfrac{1}{3}(x+6)\implies y=\cfrac{1}{3}x+2

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By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.

<h3>How to find the missing side?</h3>

By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:

z² = x² + y²

Also, the sides of this right-angled triangle are:

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Substituting the given parameters into the formula, we have;

14² = x² + 7²

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x = √147

x = √49 × √3

x = 7√3 inches.

Read more on Pythagorean theorem here: brainly.com/question/23200848

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