What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y = −2/3x + 5?

Guest Dec 11, 2017

#1**+1 **

The slope of the line y = -\(\frac23\)x + 5 is -\(\frac23\)

And the slope of a perpendicular line is the negative reciprocal of - \(\frac23\) , which is \(\frac32\) .

Using the point (8, 1) and the slope \(\frac32\) , the equation of our line in point-slope form is...

y - 1 = \(\frac32\)(x - 8) This equation is correct as is, but if you need it in slope-intercept form,

distribute the \(\frac32\) to both terms in parenthesees.

y - 1 = \(\frac32\)x - 12

Add 1 to both sides of the equation.

y = \(\frac32\)x - 11

hectictar
Dec 11, 2017

#1**+1 **

Best Answer

The slope of the line y = -\(\frac23\)x + 5 is -\(\frac23\)

And the slope of a perpendicular line is the negative reciprocal of - \(\frac23\) , which is \(\frac32\) .

Using the point (8, 1) and the slope \(\frac32\) , the equation of our line in point-slope form is...

y - 1 = \(\frac32\)(x - 8) This equation is correct as is, but if you need it in slope-intercept form,

distribute the \(\frac32\) to both terms in parenthesees.

y - 1 = \(\frac32\)x - 12

Add 1 to both sides of the equation.

y = \(\frac32\)x - 11

hectictar
Dec 11, 2017