Answer:

y = 5x - 7

Step-by-step explanation:

Since the point where the line passes through and the slope are given, we should use the point-slope formula to find the equation of a line.

y - y₁ = m(x - x₁), where m is the slope, and (x₁,y₁) is the point where the line passes through.

Here, (x₁,y₁) = (2,3), and m = 5; substitute:

y - 3 = 5(x - 2)

Distribute 5 to x and -2.

y - 3 = 5x - 10

Transpose -3 to the other side

y = 5x - 10 + 3

y = 5x - 7

Therefore, the equation of the line is y = 5x - 7