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Ket [755]
2 years ago
5

You want to find the equation for a line that passes through the point (3,-4) and has a slope of -1/2.

Mathematics
1 answer:
Mashcka [7]2 years ago
8 0

Answer:

y = -\frac{1}{2}x -\frac{5}{2}

Step-by-step explanation:

We are given;

  • A point where the line is passing through as (3, -4)
  • The slope of the line -1/2

We are required to determine the equation of the line;

  • Note that, one way we can get the equation of a straight line is when we are given a point where the line is passing through and its slope.
  • Thus, in this case, we can determine the equation;

Taking another point (x, y)

Then; (x, y) , ( 3, -4) and slope -1/2 can give us the equation;

That is;

\frac{y+4}{x-3}=-\frac{1}{2}

Cross multiplication;

2(y+4) = -1 (x-3)

2y + 8 = -x +3

Combining the like terms;

2y=-x-5\\y = -\frac{1}{2}x-\frac{5}{2}

Thus, the equation of the line is; y = -\frac{1}{2}x -\frac{5}{2}

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