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galben [10]
3 years ago
10

A line passes through the point (4,-6) and he a slope -3/4. Which is the equation of the line?

Mathematics
1 answer:
ANEK [815]3 years ago
8 0

Answer:

The equation of the line is 3x + 4y + 12 = 0

Step-by-step explanation:

given \: that \: the \: line \: passes \: through \: (4 , - 6) \\ and \: has \: the \: slope \: of \:  \frac{ - 3}{4}  \\ the \: equation \: of \: the \: line \: is \\ y - y1 = m(x - x1) \\ here \: x1 = 4 \:  \:  \: y1 =  - 6 \:  \: and \: m =  \frac{ - 3}{4}  \\ on \: substituting \: the \: values \: in \: formula \\ y - ( - 6) =  \frac{ - 3}{4} (x - 4) \\ y + 6 = \frac{ - 3}{4} (x - 4)  \\ 4(y + 6) =  - 3(x - 4) \\ 4y + 24 =  - 3x + 12 \\ 3x + 4y + 24 - 12 = 0 \\ 3x + 4y + 12 = 0

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

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

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