Find the equation of the line passing through (2, 3) with gradient 3

The first thing you should know is the gradient definition for a line.

The gradient of a straight line tells us how much inclination it has. Therefore, the gradient of a line represents the slope of the line.

We have then that the generic equation of the line is:

y-yo = m (x-xo)

Substituting the values:

y-3 = 3 (x-2)

Rewriting:

y-3 = 3x-6

y = 3x-6 + 3

y = 3x-3

y = 3 (x-1)

Answer:

The equation of the line is:

y = 3 (x-1)