SOLUTION: Line A is formed by using the points (-1,6) and (3,-2). Line B is formed by using the points (-3,0) and (5,4). What linear equations can be used to represent each line? At wha

Algebra ->  Linear-equations -> SOLUTION: Line A is formed by using the points (-1,6) and (3,-2). Line B is formed by using the points (-3,0) and (5,4). What linear equations can be used to represent each line? At wha      Log On


   



Question 1006450: Line A is formed by using the points (-1,6) and (3,-2). Line B is formed by using the points (-3,0) and (5,4). What linear equations can be used to represent each line?
At what point do the two lines intersect? Show algebraically and graphically.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28y=-2x%2B4%2Cy=x%2F2%2B3%2F2%29-----fixed mistake
See this if you want to know how... Equation of Line through Two Points


Finding where they intersect -
Equate the two formulas for y, and solve....
and use this to find corresponding y-coordinate.
-
Intersection point is at cross%28x=21%2F5%29 and cross%28y=-22%2F5%29.----No.
Obviously, (1,2).


graph%28400%2C400%2C-2%2C10%2C-7%2C5%2C-2x%2B4%2Cx%2F2%2B3%2F2%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Line A is formed by using the points (-1,6) and (3,-2). Line B is formed by using the points (-3,0) and (5,4). What linear equations can be used to represent each line?
At what point do the two lines intersect? Show algebraically and graphically.
Equations: highlight_green%28system%28y+=+-+2x+%2B+4%2Cy+=+%281%2F2%29x+%2B+3%2F2%29%29
Point of intersection: highlight_green%28system%28x+=+1%2Cy=+2%29%29