Which equation represents a line that has a slope of 4 and passes through the point (3, 8)?

To find the equation of a line given a slope and a point, we can use the point-slope form of a linear equation, which is:

y – y₁ = m(x – x₁)

In this formula, m represents the slope of the line, and (x₁, y₁) represents a point on the line. Here, the slope (m) is 4, and the point we have is (3, 8), where x₁ = 3 and y₁ = 8.

Substituting these values into the point-slope form gives:

y – 8 = 4(x – 3)

Now, let’s simplify this equation:

1. Distribute the 4:

y – 8 = 4x – 12

2. Add 8 to both sides:

y = 4x – 12 + 8

3. Simplifying further, we get:

y = 4x – 4

Thus, the equation that represents the line with a slope of 4 passing through the point (3, 8) is y = 4x – 4.