Question

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

Select the appropriate response:
A) y = 2x
B) y = 3x −3
C) y = 3x −2

help please!

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.