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lions [1.4K]
3 years ago
9

Please explain i will mark brainliesttt!

Mathematics
1 answer:
Sati [7]3 years ago
5 0

Answer:

<em>Answer is </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

given \: the \: line \: n \: passes \: through \\  \: ( - 3, - 7.5) \:  \: and(2, - 5) \\ the \: equation \: of \: the \: line \: is \\  \frac{y - y1}{y2 - y1}  =  \frac{x - x1}{x2 - x1}  \\ here \: x1 =  - 3 \:  \:  \: y1 =  - 7.5 \\ and \:  \: x2 = 2 \:  \:  \: y2 =  - 5 \\  \frac{y - ( - 7.5)}{ - 5 - ( - 7.5)}  =  \frac{x - ( - 3)}{2 - ( - 3)}  \\  \frac{y + 7.5}{ - 5 + 7.5}  =  \frac{x + 3}{2 + 3}  \\  \frac{y + 7.5}{2.5}  =  \frac{x + 3}{5}  \\ dividing \: by \: 5 \: on \: both \: side s\\  \frac{y + 7.5}{0.5}  =  \frac{x + 3}{1}  \\ 0.5(x + 3) = y + 7.5 \\ 0.5x + 1.5 = y + 7.5 \\ 0.5x - y - 6 = 0 \\ is \: the \: required \: equation.

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

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