Question

Find the equation of a line passing through the point (2, 3) and having a slope of 3.

Select the appropriate response

A) y = (– 2/3)x + 8/3
B) y=3x-3
C) y=1/2x+1


help please!!!!!

Answer 1

Given:

The equation of the line passes through the point (2,3) and having a slope of 3.

We need to determine the equation of the line.

Equation of the line:

The equation of the line can be determined using the formula,

`y-y_1=m(x-x_1)`

Substituting the point (2,3) and the slope m = 3 in the above formula, we get;

`y-3=3(x-2)`

Simplifying the terms, we have;

`y-3=3x-6`

Adding both sides of the equation by 3, we have;

`y=3x-3`

Thus, the equation of the line is
`y=3x-3`

Hence, Option B is the correct answer.