Which of the equations matches the line shown in the diagram?
A y = -5/3 x
B y = -5/3 x – 1
C y = 5/3 x + 1
D y = 5/3 x – 1/3
Which of the equations matches the line shown in the diagram
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Which of the equations matches the line shown in the diagram?
A y = -5/3 x
B y = -5/3 x – 1
C y = 5/3 x + 1
D y = 5/3 x – 1/3
To determine which equation matches the line shown in the diagram, we need to analyze the slope and the y-intercept of the line.
1. Identify the Slope: The slope (m) can be found by observing how steep the line is. A positive slope indicates the line rises from left to right, while a negative slope indicates it falls.
2. Identify the Y-Intercept: This is where the line crosses the y-axis. Find the point on the line where x = 0, and note the corresponding y value.
3. Match with the Equations:
– A y = -5/3 x (negative slope)
– B y = -5/3 x – 1 (negative slope, crosses y at -1)
– C y = 5/3 x + 1 (positive slope, crosses y at +1)
– D y = 5/3 x – 1/3 (positive slope, crosses y at -1/3)
Without the exact image, assume based on the above analysis:
– If the line falls from left to right (negative slope), options A or B are likely.
– If the line rises from left to right (positive slope), options C or D are more appropriate.
After considering these factors, check which line characteristics best fit the descriptions in each equation.
If you can share whether the line is rising or falling and where it intersects the y-axis, I can