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Andrei [34K]
3 years ago
11

What is the slope of the line that passes through the points (-6,8) and (-16,33)

Mathematics
2 answers:
Elan Coil [88]3 years ago
6 0

Answer:

-5/2 or -2.5

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

(y2 - y1) / (x2 - x1)

(33 - 8) / (-16 + 6)

25 / -10

= -5/2

So, the slope is -5/2 or -2.5

Bas_tet [7]3 years ago
6 0

Answer:

<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>

We know that

Slope

\bf \:  \dfrac{y_2  - y_1}{x_2 - x_1}

Where

y2 = 33

y1 = 8

x2 = -16

x1 = -6

33 - 8/-16 - 8

25/-24

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y=-\frac{2}{5}x+\frac{19}{5}

Further explanation:

We have to find the equation of the line first to graph the line.

The general form of slope-intercept form of equation of line is:

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Given

m=-\frac{2}{5}

Putting the value of slope in the equation

y=-\frac{2}{5}x+b

To find the value of b, putting the point (-3,5) in equation

5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}

Putting the values of b and m

y=-\frac{2}{5}x+\frac{19}{5}

The graph is made by using online graphing tool Desmos.

Keywords: Equation of line, graph of line

Learn more about graphs at:

  • brainly.com/question/1557905
  • brainly.com/question/1554024

#LearnwithBrainly

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