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oksano4ka [1.4K]
3 years ago
14

Through: (1, 2), parallel to y=-3x - 3​

Mathematics
1 answer:
Westkost [7]3 years ago
6 0

The equation of the line that parallel to y = -3 x - 3 and passes

through the point (1 , 2) is y = -3 x + 5

Step-by-step explanation:

The slope-intercept form of an equation of a line is y = m x + c, where

m is the slope of the line and c is the y-intercept

→ Parallel lines have same slopes

→ Parallel lines have different y-intercepts

∵ The equation of a line is y = -3 x - 3

∵ The slope-intercept form of the equation of a line is y = m x + c

∴ m = -3

Let us write the equation of a line that parallel to the line y = -3 x - 3

∵ Parallel lines have same slopes

∵ The slope of the line above = -3

∴ The slope of the line = -3

∴ The equation of the line is y = -3 x + c

To find c substitute x and y in the equation by the coordinates of a

point lies on the line

∵ The line passes through the point (1 , 2)

- substitute x by 1 and y by 2 in the equation

∴ 2 = -3(1) + c

∴ 2 = -3 + c

- Add 3 to both sides

∴ 5 = c

- substitute the value of c in the equation

∴ The equation of the line is y = -3 x + 5

The equation of the line that parallel to y = -3 x - 3 and passes

through the point (1 , 2) is y = -3 x + 5

Learn more:

You can learn more about parallel lines in brainly.com/question/10483199

#Learnwithbrainly

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PLEASE HELP IM STUCK ON THESE TWO!!
sergejj [24]

Answer:

6) y = -x - 5

7) y = \frac{7}{5}x + 3

Step-by-step explanation:

format y = mx + b

8 0
3 years ago
Read 2 more answers
here is the base of a prism if the height of the prism is 5cm what is it’s surface area? what is it’s volume
denpristay [2]
<h2>Volume Of Prism</h2>

Here is the base of a prism if the height of the prism is 5cm what is it’s surface area? what is it’s volume.

<h3>Solution:</h3>
  • Volume = s²
  • V = 5cm
  • V = 5cm x 5cm
  • V = 25cm²

- So The Surface area of Prism is 25cm².

#ProblemSolve

3 0
2 years ago
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Determine the ordered pair that satisfies the equation, 2x - 8y = -9.
Mama L [17]
You need another equation, other wise x can be anything, and y can be infinitely different solutions.
8 0
3 years ago
Answer each question below.
HACTEHA [7]

Answer:

\huge\boxed{\sf L = 78\°}

Step-by-step explanation:

<h3><u>Given that:</u></h3>

Exterior angle of L = 5x + 12

M = 3x - 2

N = 50

<h3><u>Statement:</u></h3>
  • Exterior angle is equal to the sum of non-adjacent interior angles.

So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.

Here,

Exterior angle of L = M + N

5x + 12 = 3x - 2 + 50

5x + 12 = 3x + 48

Subtract 12 to both sides

5x = 3x + 48 - 12

5x - 3x = 36

2x = 36

Divide 2 to both sides

x = 18

So,

<h3><u>Measure of angle M:</u></h3>

= 3x - 2

= 3 (18) - 2

= 54 - 2

= 52°

Now,

<h3><u>Measure of angle L:</u></h3>

<u>We know that,</u>

  • Sum of all the interior angles of triangle is 180 degrees.

L + M + N = 180°

L + 52 + 50 = 180

L + 102 = 180

Subtract 102 to both sides

L = 180 - 102

L = 78°

\rule[225]{225}{2}

7 0
2 years ago
2/3y = 4/5 solve the equation using inverse operations
Alisiya [41]

Answer:

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Step-by-step explanation:

Hope this helps! Sorry if its wrong

6 0
2 years ago
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