Question

Slope, m = 2. y-intercept, b = 5

Slope, m = 3, y-intercept, b = 5

Slope, m = 5, y-intercept, b = 4

Answer 1

The equations of the lines based on the given slopes and y-intercepts can be written in the slope-intercept form, which is given by the formula:

\[ y = mx + b \]

where \(m\) is the slope and \(b\) is the y-intercept.

Here are the equations for each of the lines you've provided:

1. For the slope \(m = 2\) and y-intercept \(b = 5\):
\[ y = 2x + 5 \]

2. For the slope \(m = 3\) and y-intercept \(b = 5\):
\[ y = 3x + 5 \]

3. For the slope \(m = 5\) and y-intercept \(b = 4\):
\[ y = 5x + 4 \]

So the equations of the lines are:
1. \(y = 2x + 5\)
2. \(y = 3x + 5\)
3. \(y = 5x + 4\)