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Eva8 [605]
3 years ago
8

Write the equation that passes through the following points: (5,0) and (−10,−5)

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0

Answer:

The answer is:

y =  \frac{1}{3} x -  \frac{5}{3}

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

y = mx + b

❃Incase you also forgot, The is what the slope formula is ☟

m = \frac{y_2 - y_1 }{x_2 - x_1}

➊ First: We are going to be solving for the slope.

m = \frac{  - 5 - 0}{ - 10 - 5} = \frac{ - 5}{  - 15} =  \frac{1}{3}

➋Second: We find the y-intercept.

y = mx + b \\ 0 =  \frac{1}{3} (5) + b \\ 0 =  \frac{5}{3}  + b \\ \frac{  -   \frac{5}{3}  =  -  \frac{5}{3 }   \:  \:  \:  \:  \:  \:  \: \: \: \: \: \: }{  -  \frac{5}{3}  = b}

➌Third: Plug in.

y =  \frac{1}{3} x -  \frac{5}{3}

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