SOLUTION: Write the equation of the line through (5, 3) that is parallel to 4x + 5y = 12.

Algebra ->  Finite-and-infinite-sets -> SOLUTION: Write the equation of the line through (5, 3) that is parallel to 4x + 5y = 12.       Log On


   

Question 1131651: Write the equation of the line through
(5, 3)
that is parallel to
4x + 5y = 12.
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Write the equation of the line through
(5, 3)
that is parallel to
4x+%2B+5y+=+12
parallel lines have same slope; so, first write the equation of the given line in slope-intercept form

4x+%2B+5y+=+12

+5y+=+-4x%2B12
+y+=+-%284%2F5%29x%2B12%2F5
+y+=+-%284%2F5%29x%2B2.4
so, the slope is -%284%2F5%29
and parallel line will be
y=-%284%2F5%29x%2Bb

use given point (5, 3) to find b
3=-%284%2F5%295%2Bb
3=-%284%2Fcross%285%29%29cross%285%29%2Bb
3=-4%2Bb
3%2B4=b
b=7
and the equation of the parallel line is
y=-%284%2F5%29x%2B7






Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

Finite-and-infinite-sets/1131651: Write the equation of the line through
(5, 3)
that is parallel to
4x + 5y = 12.
1 solutions
Write the equation of the line through
(5, 3)
that is parallel to
4x + 5y = 12.
Parallel to 4x + 5y = 12, and passes through (5, 3)

New equation will have the same LEFT-SIDE. Now use the left side to substitute point into, to get right-side. 

In other words, we get: 4x + 5y = 4(5) + 5(3)

4x + 5y = 20 + 15

highlight_green%28matrix%281%2C3%2C+4x+%2B+5y%2C+%22=%22%2C+35%29%29 <======= YOUR equation

That's ALL. NOTHING more, NOTHING less!!