Question

problem 2
graph two lines that match the description:
two lines with different slopes.
how many solutions does this system of equations have?
no solution one solution infinitely many solutions

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Analyze the nature of lines with different slopes

If two lines have different slopes ($m_1
eq m_2$), the lines are not parallel and not coincident.
For a system of linear equations $y=m_1x + b_1$ and $y=m_2x + b_2$ with $m_1
eq m_2$, the two lines will intersect at exactly one point. The point of intersection is the solution of the system of equations.

Step3: Relate to the graph

In the given graph, the two lines are horizontal lines (slope = 0 for both? Wait, no, wait. Wait, the problem says "two lines with different slopes". Wait, maybe the initial graph is just a start. But the key concept is: if two lines have different slopes, they intersect at one point. So the system of equations (the two lines) will have one solution.

Answer:

One solution