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Algebra
Pregunta

11. A line is given by the equation \( 5 x + 8 y =...

11. A line is given by the equation \( 5 x + 8 y = 72 . \) What is the equation of the parallel line that passes through the point \( ( 1,9 ) ? \) 

The equation of the line is given by \( A x + B y = C . \) Where 

\( A = B , B = \) and \( C = \) 

\( * \) Remember, when writing an equation in standard form you must simplify until the x-coefficient is positi 

Answer

5x+8y=72

y=9-\(\frac{5}{8}\)x

slope=-5/8

We know that the second line will also have a slope of –5/8, and we are given the point (1,9). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.

y = mx + b

9 = –5/8(1) + b

9= –5/8 + b

b = 9 + 5/8 = 9.625

Plug the y-intercept back into the equation to get our final answer.

y = (5/8)x + 9.625

Solución
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