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3 years ago

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How do I find slope?

2 answers:

Korolek [52]3 years ago

7 0

To find the slope in the graph you need to find two perfect points on the line then count how many times you went up which is the y over how many times you go right which is the x its called the rise/run. To find the slope in the equation use the formula y2-y1/x2-x1.

galina1969 [7]3 years ago

6 0

The equation of any Straight line called a linear equation can be written as y=Mx+b where m is the slope is the slope of the line and b is the y-intercept

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Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ <em>cross multiply</em>

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

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Step-by-step explanation:

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