To match the given slopes and y-intercepts with the correct equations in slope-intercept form, we need to remember that the slope-intercept form of a line is given by the equation:
\[ y = mx + b \]
Where \( m \) is the slope and \( b \) is the y-intercept.
Now, let's match each set of values:
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Slope, m = 2, y-intercept, b = 5:
- Equation: \( y = 2x + 5 \)
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Slope, m = 3, y-intercept, b = 5:
- Equation: \( y = 3x + 5 \)
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Slope, m = 5, y-intercept, b = 4:
- Equation: \( y = 5x + 4 \)
Now, we can rewrite the equations to match them with your given options:
- y = 5x + 3 (not matching any values)
- y = 2x + 5 (matches Slope: 2, Intercept: 5)
- y = 5x + 2 (not matching any values)
- y = 3x + 5 (matches Slope: 3, Intercept: 5)
- y = 5x + 4 (matches Slope: 5, Intercept: 4)
Here’s the final match:
- y = 2x + 5 → Slope m = 2, y-intercept b = 5
- y = 3x + 5 → Slope m = 3, y-intercept b = 5
- y = 5x + 4 → Slope m = 5, y-intercept b = 4