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Paladinen [302]
3 years ago
10

The equation of line EF is y = 2x + 1. Write an equation of a line parallel to line EF in slope-intercept form that contains poi

nt (0, 2). a. y = -2x - 4. b. y = 2x + 2. c. y = -1/2x - 4. d. y = 1/2x + 2.
Mathematics
2 answers:
Pie3 years ago
6 0
Gradient of line 1;
y=2x+1
m= 2

Parallel lines have same gradient;
For line 2, gradient = 2
y=mx+c
y=2x+c
Replacing for x and y;
2=2(0)+c
2=c
y=2x+2
77julia77 [94]3 years ago
3 0

Answer:  The answer is (b) y=2x+2.


Step-by-step explanation:  The equation of a straight line in slope-intercept form is given by

y=mx+c, where, 'm' is the slope and 'c' is the y-intercept of the straight line.

The equation of the given line EF is

y=2x+1.

Here, slope, m=2 and y-intercept, c=1.

Since our new line is parallel to the given line, so the slope of the new line=m=2.

So, let the equation of the new line be

y=mx+d\\\\\Rightarrow y=2x+d.

Now, since the line passes through the point (0,2), so

2=2\times 0+d\\\Rightarrow d=2.

Thus, the equation of the new line parallel to line EF will be

y=2x+2.

The correct option is (b).

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-4 (2x + 13) + 3x = 80<br> How do you solve this out and get the answer
shusha [124]
Hey :)

x= -12

Use the distributive property to multiply −4 by 2x+13


−8x−52=3x+80
Subtract 3x from both sides
−8x−52−3x=80


Combine −8x and −3x to get −11x
−11x−52=80

Add 52 to both sides
−11x=80+52


Add 80 and 52 to get 132
−11x=132


Divide both sides by −11
x= 132/-11
​

Divide 132 by −11 to get −12
x=−12


Hope this helps :)
6 0
3 years ago
At the beginning of the month, Tim has $50. He mows 2 lawns and washes 1 car. Then, he buys two video games that cost $15 each a
Inessa05 [86]

Answer:

Tim has $50. 15+15=30-35=5

Tim has $5 left

7 0
3 years ago
Please help i’ll give brainliest
Ahat [919]

Answer:

Carla is correct

Step-by-step explanation:

When you multiple or divide a negative the sign changes, or flips the other side.

ex:-4x≥12

-4x/-4≥12/-4

x≤-3

hope this helps!

5 0
3 years ago
Read 2 more answers
Rita is thinking of two numbers. Adding 4 times the first number and 9 times the second number gives a total of 1. Also, adding
charle [14.2K]

Answer:

first number is negative 2, second is 1

Step-by-step explanation:

-2×4= -8 1×9=9

-8+9=1

-2×4= -8 1×6=6

-8+6= -2

hope this helped

6 0
3 years ago
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Answer:

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