Let me analyze the problem step by step.
First, I need to find the slope of Function A from its graph, and compare it with the slope of Function B, which is given as y = x - 4.
For Function B: y = x - 4 is in slope-intercept form (y = mx + b), where m is the slope. So the slope of Function B is 1.
For Function A: I need to determine its slope from the graph. To find the slope of a line from a graph, I can pick two points on the line and use the formula: slope = (change in y) / (change in x) = (y₂ - y₁) / (x₂ - x₁).
Looking at the graph of Function A, I can identify two clear points:
- The line passes through (0, 2) — that's the y-intercept
- The line also passes through (1, 6) — I can see this by looking at the grid
Let me verify these points by zooming in on the graph to make sure I'm reading the coordinates correctly.
Parent Tip: Review the logic above to help your child master the concept of comparing linear equations worksheet.