1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
weqwewe [10]
3 years ago
6

Choose all the lines that are parallel to the line pictured in the graph bellow.

Mathematics
1 answer:
viktelen [127]3 years ago
3 0

Answer:

a. y = -½x

b. y = -½x + 3

c. 2y = -x - 4

e. x + 2y = 8

Step-by-step explanation:

Parallel lines have the same slope. Therefore, the lines that will be parallel to the given line on the graph would have the same slope as the line of the graph.

First, find the slope of the line on the graph:

m = \frac{y_2 - y_1}{x_2 - x_1}

Use the coordinates of any two points on the line. Let's use (-4, 0) and (0, -2)

m = \frac{-2 - 0}{0 -(-4)} = \frac{-2}{4} = -\frac{1}{2}

Slope of the line on the graph is -½.

Check each given line equation, ensure they are in the slope-intercept form and find out if the value of their slope is the same as -½.

Slope-intercept form is given as y = mx + b, where, m = slope.

Option 1: y = -½x

The slope of this line is -½, therefore it is parallel to the line on the graph.

Option 2: y = -½x + 3

The slope of this line is also -½, therefore it is parallel to the line on the graph.

Option 3: 2y = -x - 4

Rewrite in slope-intercept form.

y = -x/2 - 4/2

y = -½x - 2

The slope of this line is -½, therefore it is parallel to the line on the graph.

Option 4: y = 2x - 5.

The slope of this line is 2, therefore it is NOT parallel to the line on the graph.

Option 5: x + 2y = 8

Rewrite in slope-intercept form.

2y = 8 - x

y = 8/2 - x/2

y = 4 - ½x

The slope of this line is -½, therefore it is parallel to the line on the graph.

You might be interested in
Task 5:
Natasha_Volkova [10]

Answer:

p=18x+4

a=20x^2+17x-63

a=1350

Step-by-step explanation:

Given:

l=5x-7

w=4x+9

Required:

Area of the rectangle=?

Perimeter of the rectangle=?

If x = 9 inches what is the area of the shape=?

Formula:

a=l*w

p=2(l+w)

Solution:

p=2(l+w)

p=2(5x-7)+2(4x+9)

p=10x-14+8x+18

p=10x+8x+18-14

p=18x+4

a=l*w

a=(5x-7)(4x+9)

a=20x^2+45x-28x-63

a=20x^2+17x-63

Area of the shape if x=9in

a=20x^2+17x-63

a=20(81)+17(9)-63

a=1620+153-63

a=1413-63

a=1350

8 0
3 years ago
If f(x) = 2x² – 2. what is f(-6)?<br> If<br> -78<br> 30<br> 18<br> 0 78<br><br> PLS HELP
blondinia [14]

Answer:

70

Step-by-step explanation:

Substitute x with -6:

2(-6)²-2

2(36)-2

72-2

70

4 0
2 years ago
Read 2 more answers
Help me<br><br>6 = 1/5 (4y + 10)​
gregori [183]

Step-by-step explanation:

open the bracket

6={(1/5×4y) + 1/5×10}

6=4/5y+2

6-2=4/5y

4=4/5y

divide both sides by 4/5

y=1/5

4 0
3 years ago
Read 2 more answers
florida received 15 inches of rainfall in 3 months of the year. If the state receive 4.25 each month until the end of the year,
kherson [118]
Since there are 12 months in there year and there have already been 3 months there are 9 left

we need to multiply 4.25 by 9 and then add the first 15 inchess

4.25 times 9 = 38.25+15 = 53.25

Florida will recieve 53.25 inches of rain

I hope I've helped!

3 0
3 years ago
Find the solution for x if |5x – 2| = 13.
Licemer1 [7]

Answer:

x=1 if that's 15 x

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • 88.83 is what percent of 21?
    9·2 answers
  • $3.25 marked up by 30% how do i work it out
    10·2 answers
  • How do animators use math
    7·1 answer
  • What's .77 divided by 236.9 ?
    6·1 answer
  • The y-intercept of the function f(x) = x2+3x+2
    12·1 answer
  • Y= -x^2+10x-25 in factored form and what is the x intercept
    12·1 answer
  • Solve 6(1 − 3d) 3/16<br><br> d &gt; -3/16
    5·2 answers
  • Kaelyn used 2
    8·2 answers
  • The cost of a pizza varies directly as the square of its radius. If a pizza with a 6-inch radius costs $8.00, how much should a
    15·1 answer
  • How many ways are there to make $3 with pennies, nickels, and dimes<br>​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!