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

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Answer 1 · 2017-04-30T18:31:54

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.

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:

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