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Orlov [11]
3 years ago
12

Find the slope of a line parallel to this given line

Mathematics
1 answer:
dybincka [34]3 years ago
3 0

bearing in mind that parallel lines have the same exact slope, then any parallel line to the one above will have the same slope as that one.

\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \qquad \implies y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{3}}x-4

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i need to know how to find the x and y intercepts and then graph the linear equation for the problem x+y=2
gizmo_the_mogwai [7]

Answer:

The x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).

Join those two points with a straight line and get the graph.

Step-by-step explanation:

The intercept form of a straight line equation is \frac{x}{a} + \frac{y}{b} = 1, where the x-intercept of the line is at (a,0) and the y-intercept will be at (0,b).

So, we have to arrange the equation of a straight line in the intercept form and then we can easily find the x-intercept and y-intercept of the line.

Given equation is x + y = 2

⇒ \frac{x}{2} + \frac{y}{2} = 1

Therefore, the x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).

Now, locate the two points as obtained on the graph and join them with a straight line and you will get the graph of the line. (Answer)

8 0
3 years ago
Ken went to the store for his mother. He spent $2.37 on groceries. In addition, his mother said he could spend $0.35 on candy. W
Sladkaya [172]

Ken spent $2.37 on groceries and $0.35 on candy, and paid for them with a 5 dollar bill.

To find how much money Ken spent, we add up how much he spent on groceries and candy

Total amount spent = 2.37+0.35= $2.72

Since he paid with a 5 dollar bill, we need to subtract it from how much he spent to find the change

Change = 5 - 2.72 = $2.28

Ken got $2.28 in change.

To fill the boxes, it would be

$

2.

2

8

3 0
3 years ago
Read 2 more answers
Solve the equation 2(x-10)= 24 , what is the value of x
N76 [4]

Answer:

x=22

Step-by-step explanation:

2(x-10)=24

Distribute the parenthesis

2x-20=24

Add 20 to both sides

2x=44

Divide both sides by 2

\frac{2x}{2} =\frac{44}{2}

x=22

Hope this helps

5 0
2 years ago
Read 2 more answers
List all the prime numbers between 80 and 100
oee [108]

Answer:

81,83,85,87,89,91,93,95,97,99

4 0
2 years ago
Expand (4x-3y)^4 using pascal's triangle ...?
jenyasd209 [6]
Using row 4: 

<span>coefficients are: 1, 4, 6, 4, 1 </span>

<span>a^4 + a^3b + a^2b^2 + ab^3 + b^4 </span>

<span>Now adding the coefficients: </span>

<span>1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 1b^4 </span>

<span>Substitute a and b: </span>

<span>a = 4x </span>
<span>
b = -3y </span>

<span>1(4x)^4 + 4(4x)^3(-3y) + 6(4x)^2(-3y)^2 + 4(4x)(-3y)^3 + 1(-3y)^4 </span>

<span>Now simplify the above: </span>

<span>256x^4 - 768x^3y + 864x^2y^2 - 432xy^3 + 81y^4 </span>
8 0
3 years ago
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