SOLUTION: Find the slope of the line whose equation is 4x+5y=10 problem 1 2) If line g has a slope of -5/2 what is the slope of a line perpendicular to g? 3) Find the equation of a line

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line whose equation is 4x+5y=10 problem 1 2) If line g has a slope of -5/2 what is the slope of a line perpendicular to g? 3) Find the equation of a line      Log On


   

Question 689014: Find the slope of the line whose equation is 4x+5y=10
problem 1
2) If line g has a slope of -5/2 what is the slope of a line perpendicular to g?
3) Find the equation of a line whose slope is 3 passing through the origon

Thanks if you can help me out
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
1. 4x + 5y = 10 : solve for y
5y = -4x + 10
y = %28-4%2F5%29x+%2B+2
slope is highlight_green%28-4%2F5%29
...
2. Perpendicular lines have a negative reciprocal/inverse slope.
A perpendicular line to g will have a slope of highlight_green+%282%2F5%29
...
3. Using the point (0, 0) or origin and the slope of 3, apply the point-slope formula of y-y1=m%28x-x1%29
y - 0 = 3(x-0)
highlight_green%28y+=+3x%29
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