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Ghella [55]
2 years ago
12

In given points. 1. (10,4), (4, 15) Find the slope of the line.

Mathematics
1 answer:
MrMuchimi2 years ago
8 0

Answer:

m = -\frac{11}{6}

Step-by-step explanation:

Slope is rise over run.

\frac{15-4}{4- 10}=\frac{11}{-6} = \boxed{-\frac{11}{6}}

Hope this helps.

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Answer:

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Step-by-step explanation:

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write an equation in slope intercept form for the line that passes through (4, -4) and is parallel to 3x+4x=2y-9
photoshop1234 [79]

Answer:

\large\boxed{y=\dfrac{7}{2}x-18}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:

3x+4x=2y-9

7x=2y-9             <em>add 9 to both sides</em>

7x+9=2y       <em>divide both sides by 2</em>

\dfrac{7}{2}x+\dfrac{9}{2}=y\to y=\dfrac{7}{2}x+\dfrac{9}{2}

Parallel lines have the same slope. Therefore we have the equation:

y=\dfrac{7}{2}x+b

Put the coordinates of the point (4, -4) to the equation:

-4=\dfrac{7}{2}(4)+b

-4=7(2)+b

-4=14+b       <em>subtract 14 from both sides</em>

-18=b\to b=-18

Finally we have the equation:

y=\dfrac{7}{2}x-18

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