SOLUTION: I have 2 questions my first is...can u please show me step by step how to solve? 1.)The line is parallel to the line 3x-4y=12 and passes through point (-8,-5)? 2.) the line is

Algebra ->  Linear-equations -> SOLUTION: I have 2 questions my first is...can u please show me step by step how to solve? 1.)The line is parallel to the line 3x-4y=12 and passes through point (-8,-5)? 2.) the line is       Log On


   

Question 956799: I have 2 questions my first is...can u please show me step by step how to solve?
1.)The line is parallel to the line 3x-4y=12 and passes through point (-8,-5)?
2.) the line is perpendicular to the line 2x+5y=10 and passes though the point (6,4)?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
(1):
3x-4y=3%2A%28-8%29-4%2A%28-5%29


(2):

5x-2y=5%2A6-2%2A4


Those are given in their unsimplified form so you can understand how working with standard form equation of a line can be handled. Also be aware or reminded, a line parallel to another will have the same slope as it. The slopes of two lines perpendicular in a plane are negative reciprocals of each other.

MORE:
Understanding how standard form works is necessary.
Ax%2BBy=C, standard form for a line.
By=-Ax%2BC
y=-%28A%2FB%29x%2BC%2FA, slope-intercept form for a line.
The slope is -%28A%2FB%29. Any line in the plane parallel will have slope -A%2FB, and any line perpendicular will have slope B%2FA.
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The rest of the work would be straightforward.