Question

How do you write the slope-intercept equation for the line that passes through (-2,3) and is perpendicular to 2x-9y=-12?

Answer 1

Equation of line in slope intercept form is `y=-9/2x-6`

Explanation:

The slope of line `2x-9y= -12 or 9y =2x +12 or y =2/9x+4/3` is

`m_1=2/9 :. m_2= -1/(2/9)=-9/2` since product of perpendicular

lines is unity. Let the equation of line in slope intercept form is

`y=m_2x+c or y = -9/2x +c ; (-2,3)` is on the line , so it will satisfy the equation.

`:.3 = -9/2* (-2) +c or 3 =9 +c or c= 3-9= -6`

Hence the equation of line in slope intercept form is `y=-9/2x-6` [ans]