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I am Lyosha [343]
3 years ago
15

Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.

Mathematics
2 answers:
erica [24]3 years ago
8 0

Answer:

y = 2x + 4.

Step-by-step explanation:

The slope = the slope of y = 2x - 3 which is 2.

Using the point-slope form:

y - y1 = 2(x - x1)

Using the point (-1, 2):

y - 2 = 2(x - -1)

y =  2x + 2 + 2

y = 2x + 4  is the answer.

sammy [17]3 years ago
7 0

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut point with the y axis.

By definition, if two straight lines are parallel then their slopes are equal. Thus, the slope of the line sought will be m = 2.

y = 2x + b

We substitute the given point to find b:

2 = 2 (-1) + b\\2 = -2 + b\\2 + 2 = b\\b = 4

Finally the line is:

y = 2x + 4

Answer:

y = 2x + 4

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7 0
3 years ago
20% of a is 11. What is a?​
Reika [66]

Answer:

a=55

Step-by-step explanation:

This question is asking for you to find the whole (a), given a part (11). This can be done through multiplication. 20% is 1/5 of 100%. This means to find the whole number, you should multiply the part by 5. 11*5=55. So, a must equal 55.

We can check this answer by working backward. Do this by finding 20% of 55, and checking to see if it is 11. To find a percentage of a number, multiply that number by the percent in decimal form. So, 20% of 55 is equal to 0.2*55, which is 11. Therefore, the answer is correct.

5 0
2 years ago
Read 2 more answers
What is the area of this triangle?
alex41 [277]

Answer:

8 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 (7-3) * (4-0)

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6 0
3 years ago
What's the answer !!<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B58%20%5Ctimes%2058%7D%20" id="TexFormula1" title=" \s
Vladimir [108]

Solution given:

\sqrt{58 \times 58}

\sqrt{58²}=±58

8 0
3 years ago
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Two fractions have a common denominator of 8 which of these could be two fractions 1/2 and 2/3 and 1/4 1/2
Anna007 [38]
Hi

Fractions that have a common denominator of 8, would be fractions that have denominators that, when multiplied, equal 8. 

8/2 = 4
8/3 = 2.7
So the first option is incorrect.

8/4 = 2
8/2 = 4
The second option is correct.

The correct answer is 1/4 and 1/2

Hope this helps! :)
5 0
3 years ago
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