SOLUTION: Find the equation, in standard form, of the line perpendicular to 2x + 3y = -5 and passing through (3, -5). Write the equation in standard form, with all integer coefficients.
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Question 199402: Find the equation, in standard form, of the line perpendicular to 2x + 3y = -5 and passing through (3, -5). Write the equation in standard form, with all integer coefficients. Answer by solver91311(24713) (Show Source):
First, calculate the slope of the given line by putting the equation into slope-intercept form, namely:
Once you have completed that step, the coefficient on the term will be the slope.
Next, calculate the slope of a line perpendicular to the given line using:
In other words, take the negative reciprocal of the slope of the given line.
Using the calculated slope for the desired line and the given point, use the point-slope form of the equation of a line to derive an equation representing the desired line.
Where is the slope calculated above and are the coefficients of the given point.
Putting it into standard form with integer coefficients is an exercise for the student. Standard form is:
