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spayn [35]
3 years ago
14

What is the slope of a line parallel to the line whose equation is y - x = 5?

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
7 0
Hello,

slope=1

every line whose equation is y=x+b is parallele to the line y-x=5
mrs_skeptik [129]3 years ago
6 0

Answer:

Slope of new line is 1.

Step-by-step explanation:

We know that,

The general equation of a line is y=mx+b, where m = slope and b = y-intercept.

Now, the equation of the given line is,

y-x=5\\\\y=x+5

On comparing, the slope of the given line is 1.

<em>Since, 'The slopes of two parallel line is always equal'.</em>

<h3>Thus, the line parallel to the given line is also 1.</h3>
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Anyone wanna help?please
timama [110]

\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}

Given to points to us are :-

  • ( 3 , -6 )
  • ( -1 , -8 )

( As these are plotted on graph with yellow dots .)

Now , we can use Distance Formula , which is :-

\boxed{\pink{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}

Here ,

  • x1 = 3 .
  • x2 = -1.
  • y1 = (-6)
  • y2 = (-8).

<u>→ Substituting the respective values , </u>

⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .

⇒ Distance = √ (3+1)² + (8-6)²

⇒ Distance = √ 4² + 2²

⇒ Distance = √ 16 + 4

⇒ Distance = √20 = √4 × √5

⇒ Distance = 4√5units .

<u>Hence the distance between two points is 4√5u.</u>

3 0
4 years ago
Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. Ralph's
IgorLugansk [536]
Let
R = Ralph's age
S = Sara's age

First statement is translated as:
S = 3R

Second statement is translated as:
S + 4 = 2(R + 4)

Use the first equation to be substituted into the second one in terms of R which is the one we are actually going to solve for Ralph's age.
Since S = 3R, then
3R + 4 = 2(R + 4)
3R + 4 = 2R + 8
3R - 2R = 8 - 4
R = 4 years old
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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