Question

What is the equation, in point-slope form, of the line

that is parallel to the given line and passes through the
point (4, 1)?

Answer 1

Explanation:

Given:

The line parallel to the given line containing the points (-3,3) and (-2,1).

Also, the parallel line passes through the point (4,1).

We need to determine the equation of the line in slope - intercept form.

Slope:

Since, the two lines are parallel, then their slopes are equal.

Thus, the slope of the parallel line can be determined using the formula,

Substituting the points (-3,3) and (-2,1), we get;

Thus, the slope of the line is

Equation of the line:

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

Since, the line passes through the point (4,1), let us substitute the point (4,1) in the above formula, we have;

Thus, the equation of the line is

Hence, y − 1 = −2(x − 4) is the correct answer.

:)