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

Algebra ->  Equations -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Combining the needed slope with the standard form equation
2x%2B5y=2%2A5%2B5%2A1
2x%2B5y=15

Answer by greenestamps(13200) About Me  (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

y+=+%28-2%2F5%29x%2Bb

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

1+=+%28-2%2F5%295%2Bb
1+=+-2%2Bb
b+=+3

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

y+=+%28-2%2F5%29x%2B3

Convert to the required form:

5y+=+-2x%2B15
2x%2B5y+=+15