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3 years ago

The equation of a line is x + 4y = 15.

Mathematics

2 answers:

Alisiya [41]3 years ago

8 0

I get 15/4 or 15 over 4

Anvisha [2.4K]3 years ago

3 0

Answer:

Option D.

Step-by-step explanation:

Y-intercept form of the equation of a line is given by y = mx + c

Where m = slope of the line

c = y-intercept

Given equation of a line is x + 4y = 15

We will transform this equation into the y intercept form first.

x + 4y = 15

4y = 15 - x

y = $-\frac{x}{4}+\frac{15}{4}$

Therefore, y - intercept of this equation will be c = $\frac{15}{4}$

Option D will be the answer.

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3 years ago

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Alex787 [66]

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Step-by-step explanation:

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Segments

Ipatiy [6.2K]

There are several ways two triangles can be congruent.

$\mathbf{AC = BD}$ congruent by SAS
$\mathbf{\angle ABC \cong \angle BAD}$ congruent by corresponding theorem

In $\mathbf{\triangle AOL}$ and $\mathbf{\triangle BOK}$ (see attachment), we have the following observations

$1.\ \mathbf{AO = DO}$ --- Because O is the midpoint of line segment AD

$2.\ \mathbf{BO = CO}$ --- Because O is the midpoint of line segment BC

$3.\ \mathbf{\angle AOB =\angle COD}$ ---- Because vertical angles are congruent

$4.\ \mathbf{\angle AOC =\angle BOD}$ ---- Because vertical angles are congruent

Using the SAS (side-angle-side) postulate, we have:

$\mathbf{AC = BD}$

Using corresponding theorem,

$\mathbf{\angle ABC \cong \angle BAD}$ ---- i.e. both triangles are congruent

The above congruence equation is true because:

2 sides of both triangles are congruent
1 angle each of both triangles is equal
Corresponding angles are equal

See attachment

Read more about congruence triangles at:

brainly.com/question/20517835

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