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FinnZ [79.3K]
3 years ago
10

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equa

tion. Point: (5,4) Equation: y = 2/5x - 2​
Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

Answer:

y = (2/5)x + 2

Step-by-step explanation:

The given equation y = (2/5)x - 2​ is already in slope-intercept form.  The equation of the new line has precisely that form, except that the constant is different.  To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:

4 = (2/5)(5) + C, or

4 = 2 + C.  Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.

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Answer:

The length of DE is 14 cm.

Step-by-step explanation:

Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.

Given lengths are AC=20cm, AB=17cm, and BD=11.9cm

In ΔBDE and ΔBAC

∠BDE=∠BAC       (∵Corresponding angles)

∠BED=∠BCA       (∵Corresponding angles)

By AA similarity rule, ΔBDE~ΔBAC

∴their corresponding sides are in proportion

⇒ \frac{BE}{BC}=\frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{11.9}{17}=\frac{DE}{20}

⇒ DE=\frac{20\times 11.9}{17}=14cm

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Step-by-step explanation:

Step one:

given data

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Step 5: Evaluate, Select, and Refine Alternative or Option. ...

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Step-by-step explanation:

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