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Nady [450]
2 years ago
7

What is the slope of the line that contains the points in the table?

Mathematics
2 answers:
Debora [2.8K]2 years ago
4 0

Answer:

D

Step-by-step explanation:

The boxes with whole numbers in them written as coordinates:

(-4, -11)

(8, -8)

we know gradient is rise over run, or (y2 - y1) / (x2 - x1)

gradient = (-8 - -11) / (8 - -4)

gradient = 3 / 12

gradient = ¼

Elis [28]2 years ago
3 0

Answer:

B

Step-by-step explanation:

always remember that the slope is the ratio "y coordinate change / x coordinate change".

in the table we see that when x increases by 3, y increases by 3/4 (= 0.75).

this impression is confirmed by the last step, as x increases by 6, and y by 1.5 = 6/4.

so, the slope is

3/4 / 3 = 1/4

or

6/4 / 6 = 1/4

so, it is 1/4.

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Determine whether the lines are parallel, intersect, or coincide<br> y=1/3x+4 <br> x-3y=-12
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The slopes of two lines are equal which means that the lines are parallel.

Further explanation:

The slopes of lines are used to find the relationship between two line.

  • If two lines are parallel, then their slopes will be equal.
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The standard form of equation of line is:

y=mx+b

The coefficient of x is the slope here.

y=1/3x+4

Let m1 be the slope of first line:

m_1=\frac{1}{3}

x-3y=-12\\-3y=-x-12\\-3y=-1(x+12)\\3y=x+12\\\frac{3y}{3}=\frac{x+12}{3}\\y=\frac{x+12}{3}\\y=\frac{x}{3}+\frac{12}{3}\\y=\frac{1}{3}x+4

Let m2 be the slope of second line

m_2=\frac{1}{3}

We can see that:

m_1=m_2

The slopes of two lines are equal which means that the lines are parallel.

Keywords: Parallel Lines, Perpendicular Lines

Learn more about lines at:

  • brainly.com/question/3552621
  • brainly.com/question/3617539

#LearnwithBrainly

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Step-by-step explanation:

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