SOLUTION: Line 1 passes through the origin and the point (3,1). Line 2 has a slope of -2/3 and passes through the point (-1, 5). Where do theses two lines intersect?

Algebra ->  Linear-equations -> SOLUTION: Line 1 passes through the origin and the point (3,1). Line 2 has a slope of -2/3 and passes through the point (-1, 5). Where do theses two lines intersect?       Log On


   

Question 324899: Line 1 passes through the origin and the point (3,1). Line 2 has a slope of -2/3 and passes through the point (-1, 5). Where do theses two lines intersect?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of line 1,
m=%28y2-y1%29%2F%28x2-x1%29=%281-0%29%2F%283-0%29=1%2F3
Line 1 is then,
y-0=%281%2F3%29%28x-0%29
y=%281%2F3%29x
.
.
.
Line 2 is,
y-5=-%282%2F3%29%28x%2B1%29
y=-%282%2F3%29x-2%2F3%2B15%2F3
y=-%282%2F3%29x%2B13%2F3
.
.
.
To find the intersection point, set the equations equal to each other,
%281%2F3%29x=-%282%2F3%29x%2B13%2F3
x=13%2F3
Then use either equation to solve for y,
y=%281%2F3%29%2813%2F3%29
highlight%28+y=13%2F9%29
.
.