SOLUTION: Write the equation of the line described in standard form, Ax + By = C, where A, B, and C are integers. through: (5, 1), perpendicular to y = 5/2 x + 1

Question 1131822: Write the equation of the line described in standard form, Ax + By = C, where A, B, and C are integers.
through: (5, 1), perpendicular to y = 5/2 x + 1
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Combining the needed slope with the standard form equation

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The slope of the given line is 5/2; the slope of a line perpendicular to the given line is -2/5.

So the equation in slope-intercept form of the line perpendicular to the given line is

The value of b can be found using the given point (5,1) on the line:

In slope-intercept form, the equation of the line is

Convert to the required form:

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