# What is the equation of a line that passes through (4, 3) and has a slope of 2?

We can make use of the slope-intercept form of the equation of a line.

## Answer: The equation of the line that passes through (4, 3) and has a slope of 2 is y = 3x - 5.

Let's look into the steps below.

**Explanation:**

The general equation of the line, with slope and intercept, is given by,

y = mx + c

where, m = slope and c = y-intercept

Substituting the points (4, 3) and slope as 2 in y = mx + c, we get,

3 = 2 × 4 + c

c = -5

Now, substituting the value of c back into the initial equation of line, with slope value 2, we get,

⇒ y = 2x + c

⇒ y = 3x + (-5)

⇒ y = 3x - 5

### Thus, the equation of the line that passes through (4, 3) and has a slope of 2 is y = 3x - 5.