QUESTION IMAGE
Question
positive slope
y-axis
x-axis
Step1: Identify the problem type
The problem involves a graph related to slope, which falls under Mathematics, specifically Algebra (since slope is a concept in linear algebra/algebra dealing with linear equations).
Step2: Analyze the graph
The graph is a coordinate plane (x - y axis) labeled "Positive Slope". To draw a line with positive slope, we know that a positive slope means as \( x \) increases, \( y \) increases. Let's pick two points. Let's choose \( (0,0) \) and \( (1,1) \) (we can choose any two points where the rise over run is positive). The slope formula is \( m=\frac{y_2 - y_1}{x_2 - x_1} \). For \( (x_1,y_1)=(0,0) \) and \( (x_2,y_2)=(1,1) \), \( m = \frac{1 - 0}{1 - 0}=1 \), which is positive. So we can draw a line passing through these points (or any other points with positive slope, like \( (0,1) \) and \( (1,3) \) where slope is \( \frac{3 - 1}{1 - 0}=2 \)).
(Note: Since the original graph seems to have some numbering issues but the key is to draw a line with positive slope. Let's assume we need to sketch it. A positive - slope line goes from bottom - left to top - right on the coordinate plane.)
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To draw a line with positive slope on the given coordinate plane, select two points such that the change in \( y \) (rise) divided by the change in \( x \) (run) is positive. For example, draw a line passing through \( (0,0) \) and \( (1,1) \) (or any other two points where \( y \) increases as \( x \) increases). The line should have a positive slope, meaning it ascends from left to right.