SOLUTION: Consider two lines that form a linear system. Line 1: slope = 4 and y-intercept of (0,-3) Line 2: slope = 4 and y-intercept of (0,8) Part 1: What type of lines would this be?

Algebra ->  Linear-equations -> SOLUTION: Consider two lines that form a linear system. Line 1: slope = 4 and y-intercept of (0,-3) Line 2: slope = 4 and y-intercept of (0,8) Part 1: What type of lines would this be?      Log On


   

Question 636027: Consider two lines that form a linear system.
Line 1: slope = 4 and y-intercept of (0,-3)
Line 2: slope = 4 and y-intercept of (0,8)
Part 1: What type of lines would this be?
Part 2: How many solutions does this system have?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Those two lines have the same slope.
Lines with the same slope are either parallel to each other, or they are the same line.
Since the y-intercepts are diffetrent, they cross the y-axis at different points and are different lines, highlight%28parallel%29 to each other.
Being parallel, they have no point in common, so there is no (x, y) that satisfies both equations.
As a consequence, the system has highlight%280%29 solutions.
The lines look like this: