By the "Just Look at it Theorem" the lines have different slopes,
so what does that tell you about the lines ?
Consider the following system of equations.
{ y=3x−5
{ y=−x+7
Are the graphs of the two lines intersecting lines, the same line, or parallel lines? Explain your reasoning.
How many solutions does the system have? Explain how you can tell without solving the system
2 answers
Since the slope are NOT the same and the first one is positive (3) that means the graph slopes UPWARDS when looked at from left to right.
While the second line has a slope of -1 so the graph slopes DOWNWARDS when looked at from left to right.
Thus the lines intersect in ONE place : )
You can sketch them to find the point of intersection if you wish.
While the second line has a slope of -1 so the graph slopes DOWNWARDS when looked at from left to right.
Thus the lines intersect in ONE place : )
You can sketch them to find the point of intersection if you wish.
1 answer