Figure A is a scale image of figure B.

Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1). Yeah

SashulF [63]

Answer:

The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

$y = x + 3$

The graph of both the parallel equation is shown below to make you further understand the concept.

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

where

$m$ is the slope

$b$ is the y-intercept

Given the equation

$y = x - 3$

comparing with the slope-intercept form of the line equation

Slope m = 1

Important Tip:

As the parallel lines never intersect, therefore, they have the same slopes.

Thus, the slope of the parallel line is also 1.

As the parallel line contains the point (-2, 1).

so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line

$y = mx+b$

$1 = 1(-2) + b$ ∵ (x, y) = (-2, 1) and m = 1

$1 = -2 + b$

switch sides

$-2+b = 1$

add 2 to both sides

$-2 + b + 2 = 1 + 2$

simplify

$b = 3$

Thus, the y-intercept b of the parallel line is: b = 3

now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the equation of the parallel line

$y = mx + b$

$y = (1)x + 3$

$y = x + 3$

Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

$y = x + 3$

The graph of both the parallel equation is shown below to make you further understand the concept.

From the graph:

The green line represents the equation y = x - 3

The black line represents the parallel equation y = x + 3

It is clear that both lines are parallel.

6 0

3 years ago

$49.95 pair of shoes; 5% tax

Keith_Richards [23]

Answer:

$52.44

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Given the following triangle find side AC. A. 11.89 B. 12.87 C. 13.98 D. 14.08

BigorU [14]

Answer:

The answer to your question is AC = 14

Step-by-step explanation:

To solve this problem, we must use trigonometric functions.

And we must look for a trigonometric function that relates the opposite side and the hypotenuse.

This trigonometric function is the sine

$sin\alpha = \frac{opposite side}{hypotenuse}$

solve for Opposite side = AC

AC = hypotenuse x sin α

- Substitution

AC = 25 x sin 34

- Simplification

AC = 25 x 0.56

- Result

AC = 14

7 0

3 years ago

Can a obtuse triangle also be an equilateral triangle? Explain

valkas [14]

No. An obtuse triangle can not be an equilateral triangle because for a triangle to be equilateral, all three sides have to be the same measure and the same degree of angle (60). Since, an obtuse triangle has an angle greater than 90, the other two sides could be equal, but then you would have an obtuse isosceles triangle, not an equiangular equilateral triangle. Therefore, the obtuse angle in the obtuse triangle will limit the triangle from being an equilateral triangle.

7 0

3 years ago

Missing numerator of x over 4 times 8 equals 2

Crazy boy [7]

Answer:

Step-by-step explanation:

If the equation of the of the hyperbola is , then the eccentricity, and the directrices are and the foci are (± ae,0).

Now, given that ae = 4 and ......... (1)

So,

⇒ a² = 8

⇒ a = 2√2 units.

Now, from equation (1) we get, ae = 4

⇒ e = √2 as a = 2√2

Now,

⇒

⇒ b² = 8

Hence, the equation of the hyperbola is

Read more on Brainly.com - brainly.com/question/14434001#readmore

5 0

3 years ago