The equation in slope-intercept form of the line that passes through the point (-1, 2) and is perpendicular to the line equation, is:
<em><u>Recall</u></em>:
Equation of a line in slope-intercept form is: , where, slope = m, and y-intercept = c.
Point-slope form is:
The slope value of a line will be the negative reciprocal of the slope of the line it is perpendicular to. i.e. if the slope of a line is a, the slope of the line that it is perpendicular to will be -a.
<em><u>Given:</u></em>
- The line passes through point (-1, 2)
- Equation of line it is perpendicular to is:
To write the equation of the line that passes through (-1, 2), we need to find the slope value.
- First, rewrite
and find its slope.
- The slope (m) of
- Thus, the slope (m) of the line that passes through (-1, 2) will be the negative reciprocal of 1 = -1.
- Write the equation of the line by substituting (a, b) = (-1, 2) and m = -1 into
:
- <em><u>Thus</u></em>:
- Rewrite this in the form of
- <em><u>Thus</u></em>:
Therefore, the equation in slope-intercept form of the line that passes through the point (-1, 2) and is perpendicular to the line equation, is
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