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2 years ago

Find the slope of the line that passes through each pair of points A(0,1), B(2,7)

2 answers:

5 0

$\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{2-0} = \frac{6}{2} =\boxed{3}$

The slope of the line that passes through points (0,1) and (2,7) is 3

Finger [1]2 years ago

3 0

The slope would be 3.
7-1=6
2-0= 2
6/2=3

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X^2 - y^2 = 100

luda_lava [24]

Answer:

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

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2 years ago

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The Final answer is
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