3 years ago

Find the equation of the line through (2,4) and (3,-1)

Mathematics

2 answers:

tekilochka [14]3 years ago

7 0

Answer:

y = -5x+14

Step-by-step explanation:

slope formula

y-y divided by x-x

4-(-1) / 2-3

5/-1 or -5

substitute into y = mx + b

4 = -5(2) + b

b = 14

Natasha2012 [34]3 years ago

3 0

y=23x+143 hope this helps

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Riley and Erik have earned a total of 135 tokens to buy items in the school store. The ratio of the number of tokens that Riley

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Answer:

<em>Riley has 72 tokens</em>

Step-by-step explanation:

<u>System of Equations </u>

We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that

$x+y=135$

Solving for y

$y=135-x$

The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as

$\displaystyle \frac{x}{y}=\frac{8}{7}$

Or equivalently

$7x=8y$

Replacing y from the first equation

$7x=8(135-x)$

Operating

$7x=1080-8x$

Simplifying

$15x=1080$

$\boxed{x=72}$

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