How do I write the equation of a line that passes through the points (1, 0) and (3, 4)?

To find the equation of the line that passes through the points (1, 0) and (3, 4), we can follow these steps:

Determine the slope (m):
The slope formula is given by:
```
m = (y₂ - y₁) / (x₂ - x₁)
```
Here, we have the points:
(x₁, y₁) = (1, 0)
(x₂, y₂) = (3, 4)
Substituting the values:
```
m = (4 - 0) / (3 - 1) = 4 / 2 = 2
```
Use the point-slope form of the equation:
The point-slope form of a line is given by:
```
y - y₁ = m(x - x₁)
```
From our calculated slope and using point (1, 0):
```
y - 0 = 2(x - 1)
```
Simplify the equation:
Distributing the slope:
```
y = 2x - 2
```

So, the equation of the line that passes through the points (1, 0) and (3, 4) is:

y = 2x - 2

This is the final linear equation in slope-intercept form.