How do I write an equation of the line containing the point (4, 3) and parallel to the line having slope 4?

To write the equation of a line that is parallel to another line, we first need to use the slope of the line we want to be parallel to. Since the slope of the given line is 4, the slope of the parallel line will also be 4.

Next, we use the point-slope form of the equation of a line, which is given by:

y – y₁ = m(x – x₁)

Here, (x₁, y₁) is a point on the line and m is the slope. We have the point (4, 3) and the slope m = 4.

Plugging in the values:

y – 3 = 4(x – 4)

Now, we simplify the equation:

• y – 3 = 4x – 16
• y = 4x – 16 + 3
• y = 4x – 13

Therefore, the equation of the line that contains the point (4, 3) and is parallel to the line with slope 4 is:

y = 4x – 13