What is the slope of the line that passes through the points (2, 6) and (8, 3)?

Mathematics

1 answer:

Deffense [45]2 years ago

7 0

Answer:

$-\frac{1}{2}$

Step-by-step explanation:

The slope of a line is the change in the line, it is also called; $\frac{rise}{run}$ . The equation to find the slope of a line is;

$\frac{y_2 - y_1}{x_2 - x_1}$

Substitute in the given points;

( 2, 6 ) and ( 8, 3 )

$\frac{3 - 6}{8 - 2}$

Simplify,

$\frac{-3}{6}$

$-\frac{1}{2}$

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(Geometry) The answers are x = 15 and y = 9 but I don't know how. Help me understand this

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$\bf \stackrel{\measuredangle DAC}{4y+2x}~~=~~\stackrel{\measuredangle BCA}{9y-x}\implies 2x=5y-x\implies 3x=5y\implies \boxed{x=\cfrac{5y}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle DAB}{[(4y+2x)+35]}~~+~~\stackrel{\measuredangle ADC}{5x+4}~~=~~180\implies 4y+2x+5x+39 = 180 \\\\\\ 4y+7x+39=180\implies 4y+7x=141\implies \stackrel{\textit{substituting "x"}}{4y+7\left( \boxed{\cfrac{5y}{3}} \right)} = 141$

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