Question

Write an equation that passes through (4,5) and is parallel to (11,4)

Answer 1

$\boxed{y-5=-\frac{1}{7}(x-4)}$

Explanation:

As I understand you need the equation of the line that passes through the point $(4,5) \ and \ (11,4)$, So the point-slope form of the equation of a line is given by:

$y-y_{1}=m(x-x_{1}) \\ \\ \\ Where: \\ \\ (x_{1},y_{1}):A \ point \ on \ the \ line \\ \\ m:Slope$

So:

$y-y_{1}=m(x-x_{1}) \\ \\ \\ m=\frac{4-5}{11-4} \\ \\ m=-\frac{1}{7} \\ \\ \\ So: \\ \\ y-5=-\frac{1}{7}(x-4)$

Learn more:

Parallel lines: https://brainly.com/question/12169569

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