Find the equation of the line that passes through the point (3, 4) and has the slope of 5.

We will use the concept of the point-slope form of a straight line to find the equation.

Answer: y = 5x - 11 is the equation of the required line.

Let us see how we will use the concept of the point-slope form of the straight line to find the equation.

Explanation:

We will use the definition of slope to find the slope

Let us consider another point on the line that is (x, y).

Hence, the slope of the line passing through the points (x, y) and (3, 4) is equal to (y - 4) / (x - 3) = 5

Therefore, y - 4 = 5 (x - 3) or y = 5x - 11

Thus, y = 5x - 11 is the equation of the required line.