Question

Need help with #12 ASAP. What is the equation of a line that is perpendicular to the line y= -1/2x+7 and passes through the point (4,10)?

Answer 1

y - 10 = 2(x - 4)

Explanation:

Recall this: The slope of a new line perpendicular to a given line is the negative reciprocal of the slope of the given line.

Thus: The slope of the new line is the negative reciprocal of (-1/2), or +2.

Using the point-slope formula for the equation of a line,

y - k = m(x - h)

becomes

y - 10 = 2(x - 4)

This could also be written as y = 2x - 8 + 10, or y = 2x + 2