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evablogger [386]
3 years ago
11

What is the slope of a line whose graph is parallel to the graph of -3x+y=2?

Mathematics
1 answer:
liq [111]3 years ago
7 0

Answer:

Step-by-step explanation:

if the lines are parallel they have the same gradient.

rearrange the equation to make y the subject and then use the m value as gradient.

-3x=2-y

-3x-2=-y

y=-(-3x-2)

y=3x+2

therefore m=3

slope is 3

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1-3x/5

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4 0
3 years ago
What is the slope of the line that passes through the points (7, -4) and (7, 0)? Write your answer in the simplest form.
olga55 [171]

Answer:

The slop is undefined

i.e. m=\infty

Step-by-step explanation:

Considering the slope formula

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

As the points are (7, -4) and (7, 0)

Here:

  • (x₁, y₁) = (7, -4)
  • (x₂, y₂) = (7, 0)

\mathrm{When\:}y_1\ne \:y_2\mathrm{\:and\:}\:x_1=x_2\mathrm{\:the\:slope\:is\:}\infty

so

  \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

            =\frac{\left(0-\left(-4\right)\right)}{\left(7-7\right)}

             =\frac{0-\left(-4\right)}{0}

             =\infty    

Therefore, the slop is undefined i.e. m=\infty

5 0
3 years ago
A 35 foot rope is cut into two pieces with one section 6 times as long as the other section, how is the shorter piece?
guajiro [1.7K]
-------------------------------------------
Define x:
-------------------------------------------
Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x

-------------------------------------------
Construct equation:
-------------------------------------------
x +6x =35
7x = 35
x =5

-------------------------------------------
Find the length:
-------------------------------------------
Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet

-------------------------------------------
Answer: The shorter piece is 5 feet.
-------------------------------------------
4 0
3 years ago
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