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Consider the following systems of equations:

y= .5x-1
y= .5x+4

Are the graphs of the two lines intersecting lines, the same line, or parallel lines?
How many solutions does the system have?
A) No solution: The lines are parallel because the y-intercept is the same.
B) One Solution: The lines are parallel because the slope is the same.
C) Infinite Solutions: The lines are intersecting because the line is in slope form.
D) No solution: The lines are parallel because their slope is the same.

Plz help.

3 answers

since they have the same slope (.5) they are either parallel or the same line.
Now try to find any value of x which satisfies both equations ...
the general slope-intercept equation is ... y = m x + b ... m is the slope

lines with the same slope are parallel
thanks😊