SOLUTION: let L be a line that is neither vertical nor horizontal and which does not pass through the origin. Show that L is the graph of (x/a) + (y/b) = 1, where a is the x-intercept and b

Algebra.Com
Question 443259: let L be a line that is neither vertical nor horizontal and which does not pass through the origin. Show that L is the graph of (x/a) + (y/b) = 1, where a is the x-intercept and b is the y-intercept of L.
Answer by swincher4391(1107)   (Show Source): You can put this solution on YOUR website!
Multiply both sides by ab:






Then by slope-intercept, b is the y-intercept.
To solve for the x intercept, let y = 0.





Then a is the x-intercept.

RELATED QUESTIONS

The graph of 4y = 5 is a. A horizontal line c. A line that is neither horizontal nor (answered by Alan3354,stanbon,jojo14344)
Find an equation of the line L that passes through the point (-2,-4) and satisfies the... (answered by josgarithmetic,josmiceli)
The graph of 2x+y=2 is a line L through the points (0,2) and (1,0). Describe the graph of (answered by josgarithmetic,MathLover1)
I have made my homework and now I only need to review it, so please help with some of my... (answered by richwmiller)
Find an equation of the line L that passes through the point (-6,7) and satisfies the... (answered by josgarithmetic)
A and B are the point (3,-1) and (2,3) respectively. l is the line 8y - 2x - 3 = 0 show... (answered by mananth)
A straight line L and a plane P in R3 are defined by the equations 2x − 3y + z = 1... (answered by venugopalramana)
Draw a horizontal line l and a point P not on l. Construct a line m through P... (answered by MRperkins)
Find an equation of the line L that passes through the point (−2, 4) and... (answered by flame8855)