Question

Find the equation of a line passing through the point (1, 1) and having a slope of 3.

Answer 1

Given:

The equation of the line passes through the point (1,1) 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 (1,1) and the slope m = 3 in the above formula, we get;

$y-1=3(x-1)$

Simplifying the terms, we get;

$y-1=3x-3$

Adding both sides of the equation by 1, we get;

$y=3x-2$

Thus, the equation of the line is $y=3x-2$

Hence, Option C is the correct answer.