How do you write the equation in point slope form given (–2, 4) and is perpendicular to the line y = –2x + 4?

1 Answer
Apr 30, 2017

Use m_p=-1/m to find the slope of a perpendicular line
Use the point-slope form of the equation of a line to write the equation.

Explanation:

The slope of the line perpendicular to a line of the form y = mx+b is:

m_p = -1/m

The slope of any line perpendicular to the given line is:

m_p = -1/-2

m_p = 1/2

Use the slope, m_p = 1/2, the given point (-2,4), and the point-slope form of a line, y = m(x-x_0)+y_0 to write the equation of the line:

y = 1/2(x - 1/2)+4