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Mekhanik [1.2K]
2 years ago
9

If the slope of a line is 4/5, does the line rise (from left to right), fall (from left to right), horizontal or vertical?

Mathematics
2 answers:
slava [35]2 years ago
4 0

slope: 4/5 is a positive slope

  • positive slopes rises from left to right
  • positive slopes falls from right to left
  • neither horizontal or vertical.

The picture below shows some examples of <u>equation with positive slope</u>.

prohojiy [21]2 years ago
3 0

Answer:

rise from left to right

Step-by-step explanation:

Linear equation: y=mx+b

(where m is the slope and b is the y-intercept)

<u>Positive slope</u>: rise from left to right

m is a positive number

\textsf{e.g.}\:y=\dfrac45x+4

<u>Negative slope</u>: fall from left to right

m is a negative number

\textsf{e.g.}\:y=-\dfrac45x+4

<u>Zero slope</u>: horizontal line

m=0

\textsf{e.g.}\:y=0x+\dfrac45\implies y=\dfrac45

Therefore, a horizontal line is y = a (where a is some constant)

<u>Infinite slope</u>: vertical line

m= \infty

\sf slope\: (m)=\dfrac{change\:in\:y}{change\:in\:x}

There is no change in x-values for a vertical line, so:

\sf \implies slope=\dfrac{change\:in\:y}{0}=\infty

We also usually call the slope of this line undefined.

Therefore, a vertical line is x = a (where a is some constant)

---------------------------------------------------------------------------------

<u>Attached graph</u>:

Positive slope: black line

Negative slope: blue line

Zero slope: green line

Infinite slope: red line

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Jacob has several babysitting jobs. On one job, he earned $10 an hour plus an extra $20 since there were 3 children. On the othe
Slav-nsk [51]

Answer:

4 hours, $60

Step-by-step explanation:

Assuming "d" is equal to the dollars Jacob earned and h= hours, you start by setting the equations equal to each other, since both are equal to "d."

15h=10h+20

Subtract 10h from both sides (to combine like terms) so the equation becomes:

5h=20

Divide 5 from both sides, to isolate "d" :

h=4

The number of hours Jacob worked is 4, as the equation above shows. To find the amount of money Jacob made, substitute 4 as "h" into the two original equations:

d= 15(4) d=$60

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7 0
3 years ago
What is the distance between the points (−7, 1) and (−7, −5) on the coordinate plane?
4vir4ik [10]

Answer:

\displaystyle d = 6

General Formulas and Concepts:
<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)

<u>Algebra II</u>

Distance Formula: \displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

Point (-7, 1)

Point (-7, -5)

<u>Step 2: Find distance </u><u><em>d</em></u>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute in points [Distance Formula]:                                                     \displaystyle d = \sqrt{(-7 - -7)^2 + (-5 - 1)^2}
  2. [Order of Operations] Evaluate:                                                                  \displaystyle d = 6
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3 years ago
What is the answer!!!!!!! I need it now pls! 50 points!
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3 years ago
Find the distance between the two points rounding to the nearest tenth (if necessary).
Evgesh-ka [11]

Answer:

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Step-by-step explanation:

So you can use the distance formula: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ which is derived from the Pythagorean theorem because normally x2-x1 would kind of give the distance length between x2 and x1 except sometimes it would be negative which wouldn't make much sense right? but it doesn't matter because it's being squared so the value ultimately becomes positive, and the same thing goes for the y-value. the distance between x2 - x1 really represents the base and y2-y1 represents the height and then adding them together gives the hypotenuse squared which is why you take the square root over the entire thing to find the distance, since the hypotenuse is the shortest distance between two points

Now all you have to do is plug the values in to get

\sqrt{(-7 - (-4))^2 + (-8 - 0)^2}\\\sqrt{(-3)^2 + (-8)^2}\\\sqrt{9 + 64}\\\sqrt{73}\\distance \approx 8.5

5 0
2 years ago
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