Write the equation of a line that passes through the point (-6,9)(−6,9) and is perpendicular to a line that passes through the points (-2,1)(−2,1) and (6,7)(6,7).

Answer 1

Find the slope of the line passing through the points (-2,1) and (6,7).

Whatever that turns out to be, the slope of any line perpendicular to that one will be the negative/opposite reciprocal. Call that the slope of the perpendicular.

Now use point-slope to write the equation of the required line, the point being (-6,9). You can convert point-slope form to slope-intercept form, although the problem does not state the final form to use.

Once you have tried the above, check here to see how you did:

desmos.com/calculator/qtfvfb36h7