Question

Match the given slope (m) and y-intercept (b) with the equation of the line in slope-intercept form.
Slope, m = 2. y-intercept, b = 5
Slope, m = 3, y-intercept, b = 5
Slope, m = 5, y-intercept, b = 4
Drag & Drop the answer
y=5x+3y=5x+3y=5x+3
y=2x+5y=2x+5y=2x+5
y=5x+2y=5x+2y=5x+2
y=3x+5y=3x+5y=3x+5
y=5x+4y=5x+4y=5x+4

Answer 1

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:

1. **Slope, m = 2, y-intercept, b = 5**:
- Equation: \( y = 2x + 5 \)

2. **Slope, m = 3, y-intercept, b = 5**:
- Equation: \( y = 3x + 5 \)

3. **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